ixty percent (60%) of Students of the Reginal College were took French. Fifteen (15) were randomly and independently sampled.  Calculate the probability that at most 2 out of the 15 randomly selected students took French. Of the 15 students, how many do you expect to take French.

Q: 52. Shaking Hands in a Group A group of six strangers sat in a circle, and each one got acquainted…

A: Let us consider six people as A, B, C, D, E, and F, and one person will handshake only once with…

Q: en the following probabilities. = 0.07 5.7 = 0.45 operties of probability trees to complete the…

A:

Q: Assume a member is selected at random from the population represented by the graph. Find the…

A: Given:

Q: Q1: A firm has three telephone numbers. They all receive numbers of calls that follow Poisson…

A: P(X=k)=​Where:X is the random variable representing the number of events.λ is the mean rate of the…

Q: Step 2 of 2: Calculate the sample standard deviation of the credit card rate charged by the top 100…

A: We have a frequency distribution of the credit card rates charged by the top 100 issuers. We need to…

Q: Coronary bypass surgery: A healthcare agency reported that  86%  of people who had coronary bypass…

A: Sample size(n)=16proportion of people who had coronary bypass surgery in 2008 were over the age of…

Q: A coin is tossed 17 times. In how many outcomes do exactly 11 heads occur?

A:

Q: pay an amount of money M if some event A occurs within a year. If the insurance company estimates…

A:

Q: Teams A and B play games until one of the teams has won two times. For each game, Team A wins with…

A: We are told that teams A and B play games until one of the teams has won two times. For each game,…

Q: The distribution of hourly wages of employees of the TNON company obeys a normal law whose average…

A: The distribution of hourly wages of employees of the TNON company obeys a normal law the average…

Q: c) A hydraulic structure has four gates which operate independently. The probability of failure off…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: classroom of children has 13 boys and 17 girls in which five students are chosen to do…

A: It is given that No. of boys = 13No. of girls = 17

Q: Four buses carrying 151 high school students arrive to Montreal. The buses carry, respectively, 35,…

A: There are total 151 students & Bus carry respectively 35,41,31,44 students.

Q: In a class of 30 students, 6 wear glasses. If we chooses at random and with replacement a sample of…

A: In a class of 30 students, 6 wear glasses.A sample of 5 students is selected with replacement.

Q: Describe a conditional probability activity. What makes it conditional/ independent? Use associated…

A: Activity: Drawing a Face Card Given That We've Drawn a Red CardSuppose we draw a card at random from…

Q: 5. Let (X, Y) have joint pdf f(x, y) = ½ on D = {(x, y) : x² + y² ≤ 1} and f(x, y) = 0 otherwise.…

A: Probability Density Function (PDF): Understand what a joint probability density function is. In this…

Q: The distribution of hourly wages of employees of the TNON company obeys a normal law whose average…

A: Mean Standard deviation

Q: Let x be a random variable representing movement (in feet per year) of such sand dunes (measured…

A: Given that x denotes the movement of sand dunes and x follows normal distribution with =16 feet per…

Q: In each case, determine the value of the constant c that makes the probability statement correct.…

A: Z be the standard normal distribution Z~N(0,1)

Q: Find the expected value of the random variable Y by the probability distribution and by the…

A: Given that an exploratory oil well drilled in a particular region should strike oil with probability…

Q: Suppose X is a random variable taking possible values in {1, 2, 3,... } and 0 < P(X = 1) < 1, and…

A: Let X be the random variable having possible values {1,2,3...} and 0&lt;p&lt;1X satisfies the…

Q: Each time a player plays a certain card game, there is a probability of 0.15 that the game will work…

A: It is given that each time a player plays a certain card game, there is a probability of 0.15 that…

Q: Suppose that the waiting time X (in seconds) for the pedestrian signal at a particular street…

A: The random variable   represents the waiting time for the pedestrian signal. The PDF of random…

Q: Consider the unit cirlce in the plane; that is, the set of all points within a distance of 1 of the…

A:

Q: The moment generating function of X is given as follows: M(x)(t)= e^(8t). Use the moment generating…

A: It is required to calculate the mean of the random variable X, using the moment generating function.

Q: Whenever Suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing…

A: She has seen a bag containing three red marbles, two green ones, four white ones, and three purple…

Q: A white goose hunter kills 60% of the geese he kills he shoots. Calculate the probability that with…

A: Probability that a white goose hunter kills the geese(p)=0.60sample size(n)=10Let "x" be that the…

Q: Digitalis is a technology company that makes high-end computer processors. Their newest processor,…

A: The processor is to be sold for $3300, making a profit of $429.

Q: Apple juice contains trace amounts of arsenic, measured in parts per billion (ppb). Over the past…

A: YearConcentration20191.4920223.0520202.5320212.3720193.4920192.6220232.820233.6920203.0420221.622021…

Q: Students were surveyed on campus about their study habits. Some said they study in the morning,…

A: Given:Students were surveyed on campus about their study habits. Some said they study in the…

Q: How many scholars ride in cars? How many scholars walk?

A: there are 624 scholars who attend Excel Middle School. (3)/(4)of the scholars ride the bus to…

Q: You are conducting a test of independence for the claim that there is an association between the row…

A: XYZA192929B142834

Q: A choice answer exam (4 choices per question) has 10 questions. A student who has not studied at all…

A: Given  n = 10 (number of questions), k = 7 (number of correct answers), and p = 1/4 (probability of…

Q: Question 3 Suppose that the height, in inches, of a 22-year-old man is a normal random variable…

A: Suppose that the height, in inches, of a 22-year-old man is a normal random variable with mean 71…

Q: Q 4.3. A fair die is rolled until a 6 is obtained. Let Y be the total number of rolls and X the…

A: Y is the total number of rolls until a 6 is obtained. This is a geometric distribution. In this…

Q: The diameters of a large group of gravel particles follow a normal distribution with mean diameter…

A: From the provided information,

Q: Ages of Homes Whiting, Indiana, leads the “Top 100 Cities with the Oldest Houses” list with the…

A: WhitingMean age = 62.1 yearsStandard deviation = 5.4 yearsn1 = 20FranklinMean age = 55.6…

Q: (i) Find the mean of X (ii) Find the variance of X

A: Given,(i)we calculate the mean of let's calculate the mean:Here we have findoutThe

Q: X and Y are two discrete random variables, Y P X P -1 1/3 and P(X² = Y²) = 1. Calculate: (1) the…

A: X01P(X)1/32/3Y-101P(Y)1/31/31/3

Q: he amounts of time per workout an athlete uses a stairclimber are normally distributed, with a mean…

A: We are going to find the probability by the help of z scores, calculate z scores of each then find…

Q: 6. How many ways to line up 10 girls and 7 boys in a row, if no three boys stard together?

A: Total number of girls = 10Total number of boys = 7

Q: A company has its employees choose a password which consists of 9 characters: 3 letters, followed by…

A: No.of symbols=11No.of letters=26No.of digits=10

Q: Machinists who work at a tool-and-die plant must check out tools from a tool center. An average of…

A: arrival rate =lambda= = 10 machinist per hourThe service rate () = 5 min to hander per request…

Q: Assume that the amounts of weight that male college students gain during their freshman year are…

A: μ=1.4,σ=5.1X~N(1.4,5.1)

Q: A​ single, six-sided die is rolled. Find the probability of rolling an odd number or a number less…

A: A single six sided die is rolled.Sample space S = {1, 2, 3, 4, 5, 6}Odd number or less than 4 = {1,…

Q: LAUSE SALT a) What sample size is necessary if the 95% CI for p is to have a width of at most 0.11…

A: A state legislator wishes to survey residents of her district to see what proportion of the…

Q: (b) What is the probability that preparation time exceeds 26 min? 0.9 ng Saved Work Revert to Last…

A:

Q: In a lottery where 50,000 tickets are sold (of which only one is winning) at $5 each, find the…

A: In this case, there is a 1 in 50,000 chance of winning the $100,000 prize. So, the probability of…

Q: In the probability tree diagram below, the numbers represent positions where certain probabilities…

A:

Q: An health insurance company divides people into two classes (young and old). The company's…

A: Let,A = Person is old.Ac = Person is not old (that is, young).B = Person have health…