Tomorrow you have an exam that consists of 10 questions. If a question is hard, you can answer it correctly with probability 0.01. If the question is easy, you can answer it correctly with probability 0.9. The probability that the question is hard is 0.85. Find the Probability of answering a question correctly.

Q: The life expectancy in years of a component in a microcomputer is exponentially distributed, and 1/3...

A: Given: The life expectancy in years of a component in a microcomputer is exponentially distributed, ...

Q: A study of the annual growth of certain cactus showed that, 100 of them, selected at random in a des...

A: Mean  = 51.50Standard deviation = 4.2Sample size = 10095% confidence level

Q: Subpart D,E,F

A: Z= x-μσ~N(0,1)

Q: First define any three events A,B,C in your daily life problems and prove addition law of probabilit...

A: Suppose me and my sister are alone in the home. We are feeling boring. Therefore, my sister suggeste...

Q: You toss a fair coin four times, and the random variable X assignsthe number of tails that appear in...

A: We first make a probability distribution  Number of heads Number of tails(X) Number of outcomes P...

Q: Please give me the right answer.

A: To calculate the : P(-1.31Z<2.31) 

Q: A lathe machine it produces solid parts with 80% probability. This turning machine continues to prod...

A: GivenThe probability that lathe machine produce solid parts =0.80The lathe machine continues to prod...

Q: A baseball player has a batting average of 0.225. What is the probability that he has exactly 3 hits...

A: Given: Probability of hitting the ball, P(h)=0.225. The objective is to find the probability of 3 ...

Q: Please give me the Right answer.

A: Given: X~N(μ,σ)μ=218.4σ=25n=40

Q: From a well shuffled pack of 52 playing cards, 2 cards are drawn in a succession with out replacemen...

A:

Q: Assume that in a lake there is 15000 fish, 10000 of them marked [with radioactive  tracers ]. 150 fi...

A: Given that there are 15000 fish in the lake. In those 15000 fish, 10000 of them marked. The proporti...

Q: Suppose that X is a normal random variable with parameters u 5 and o = 1. Define Y = x2 – 10x + 25. ...

A:

Q: Nandini's phone battery dies as she is driving to her hometown. She knows that there are two 4− way ...

A: Nandini's phone battery dies while driving to her home. There are two 4-way junction before reaching...

Q: In the New Jersey and Nevada gaming casinos, craps is a popular gambling game. One of the many bets ...

A: As given one of the many bets available is the “Hard-way 8.” A $1 bet in this fashion will win the p...

Q: Los Angeles workers have an average commute of 40 minutes. Suppose the LA commute time is normally d...

A:

Q: In a factory, there were 12 accidents involving machinery in the last six months.  (d) Calculate the...

A: Given, In a factory, there were 12 accidents in the last 6 months => 12/6 = 2 accidents per month...

Q: The half-life of strontium-90 is 28 years. Obtain the exponential decay model of the form Q(t) = Q0e...

A: Given: The half-life of strontium-90 is 28 years.  To obtain the exponential decay model of the form...

Q: I only need answer to D.

A: Solution : Joint pdf is given by, fXY(x, y) = 67(x2+xy2)        ; 0<x<1 , 0<y<2 Now, mar...

Q: Problem 1Let X be a discrete random variable with the following PMF.

A: Solution: 1. From the given information, the probability mass function of X is

Q: In a particular game, the player needs to throw a dart onto a circular board whose radius is 8.5 uni...

A: As per given information the portion of board having score multiple of 4 are: 5≤r<7⇒4 points1≤r&l...

Q: 1- A clinical trial was conducted among 178 patients with advanced melanoma. There were two treatme...

A: It is given , the probability of the positive response is 0.65   a) lf 20 melanoma patients are give...

Q: Researchers at a reputable university and a reputable health organization claim that approximately 7...

A:

Q: X~N (50,4), find P(x<55)

A: Given: X~ N(50, 4)  

Q: The daily amount of coffee, in liters, dispensed by a machine located in an airport lobby is a rando...

A: Given that the random variable X having a continuous uniform distribution with A=8 and B=11. The pro...

Q: What is the probability that 25 rolls of a fair die will show 4 twos? Please show work.

A:

Q: In a three-coin experiment, what is the probability of gettinga. 1 head?b. 2 heads? c. 3 heads?

A: When we toss three coins simultaneously then the total possible outcomes are: 23=8 That is, HHH, HHT...

Q: Solve on paper

A: Introduction: According to the permutation rule, if r distinct items are to be chosen from n items w...

Q: 1.  Two coins are tossed. What is the conditional probability that the two tails result, given that ...

A: Note: Hey there! Thank you for the question. As you have posted multiple questions, we have solved t...

Q: 5.The number of complaints filled out by the customers are 35 in 1000 customers. This firm serves 35...

A: We know that , The Poisson(λ) Distribution can be approximated with Normal when λ is large. For suff...

Q: what is a sigma algebra?

A:   σ-Algebra :-                          A collection 'X' of a subset of 1R is said to be σ-Algebra i...

Q: A committee consists of five Indians, three Americans, and three people from the United Kingdom. If ...

A: Given: A committee consists of five Indians, three Americans, and three people from the United Kingd...

Q: Q) In a video game factory, machines A, B and C manufacture 20%, 30% and 50% of the total output, re...

A:

Q: One hundred tickets numbered from 51 to 150 are put in a bowl. They are well shuffled and thoroughly...

A: Hey, since there are multiple subparts posted, we will answer first three subparts. If you want any ...

Q: Consider a random variable X taking the values k1, k2, ·.. , kn ER with probability P1, P2, » Pn E [...

A:

Q: 4 6. 8. P(X) 1 k 3. What should be the value of k to complete the probability distribution? A. 0 D. ...

A: 3. The value of k is obtained as follows: ∑xPX=116+16+k+16+16=146+k=1k=1-46=6-46=26=13 Thus, the val...

Q: The duration of an NBA basketball game during the 2019-20 season is normally distributed with the me...

A: Given Information  :  The duration of an NBA basketball game during the 2019-20 season is normally d...

Q: The tables below reflect the visitor arrivals to the Philippines by airport location in May 2017. ...

A:

Q: Probability Question

A: The probability of win is p=0.885 (88.5%) which is rounded to 0.90. a) The required probability that...

Q: A committe of 5 members is to be formed out of 6 gents and 4 ladies. In how many ways this can be d...

A: Given: Total Gents = 6 Total Ladies = 4 Required 5 members committee for the at least two ladies  

Q: Two fair dice are rolled and the sum is recorded. What is the probability that the sum is at least 1...

A: The sample space for the two fair dies is given below 1 2 3 4 5 6   1 (1, 1) (1, 2) (1, 3) (1,...

Q: Question is related to Probability. An experimenter would like to construct a 95% two-sided t-inter...

A:

Q: Refer to the following Venn diagram, and list the points that belong to each set. (Enter your answer...

A: A. The universal set U is defined as, U = {t, x, w, v, r, y, u, s, z}.

Q: On the first day of vacation, you read one-quarter of a novel. On the second day, you read half of t...

A: (a) Let, The number of pages in the novel is N. On the first day, the pages read is one-quarter of a...

Q: The duration of an NBA basketball game during the 2019-20 season is normally distributed with the me...

A: As per the guidelines we are allowed to solve maximum of 3 sub parts If you need help with other sub...

Q: 5.The table below presents the data of males whose age is between 25-35. While the first variable is...

A: From the provided information, The table of males whose age is in between 25-35 can be shown below: ...

Q: Hi i need help on the second part of the question. I attached the first and 2nd question but need he...

A: From the given information, Consider, F be the event  that shows the number of female in the school....

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.