I have an unfair coin for which P(H) =p, where 0

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 2. Determine…

A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 2

Q: About 77​% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: The probability that the sample proportion surviving for at least 3 years will be less than 72​% is,

Q: 4. (Proportion 5%) Supposing that X,,X,.,X,-N,(u,E) as an i.i.d with 2| is given. Determine the…

A: just find the mean vector and covariance matrix..............

Q: The time X (minutes) for a lab assistant to prepare the equipment for a certain experiment is…

A: Given data: The lowest limit of time to prepare the equipment is p=20 minutes. The highest limit of…

Q: 4(a). A fair four-sided die has the numbers 1, 2, 3 and 4 respectively on the four faces. Find the…

A:

Q: Today, the waves are crashing onto the beach every 5.1 seconds. The times from when a person arrives…

A: Given, The times from when a person arrives at the shoreline until a crashing wave is observed…

Q: Let T be the time from birth until death (in years) of a randomly selected member of a population.…

A: T is the time from birth until death of a randomly selected member of a population.T has a Gamma…

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: Let X be our random variable of the daily price of gasoline. Give an example of a continuous…

A: DefineX: The daily price of gasoline.

Q: X~ N(70, 12). Suppose that you form random samples of 25 from this distribution. Let X be the random…

A: a) Given that X~N(70,12). μx¯=μ=70σx¯=σn=1225=2.4 Hence, the correct option is 4th option.

Q: because all airline passengers do not show up their reserved seat, an airline sells n = 125 tickets…

A: Let X be the random variable representing the number of passengers, out of 125, showing up to board…

Q: Let x be a random variable that represents red blood cell (RBC) count in millions of cells per cubic…

A: Disclaimer "Since you have posted a question with multiple sub-parts, we will solve first three…

Q: The percent of fat calories that a person consumes each day is normally distributed with a mean of…

A: GivenMean(μ)=33standard deviation(σ)=10sample size(n)=9

Q: I'm waiting at a bus stop, I can take the bus 34, which I need to wait for, on average, 10 min, and…

A: Answer:-  Let X, be the random variable represents the time taken to wait for bus 34. Let Y, be the…

Q: pieces of spare parts for the production of a company and the probability distribution of the number…

A: Given that  X 0 1 2 3 4 P(x) 0.02 0.20 0.30 0.10 0.08

Q: Let the random variable X fit the binomial distribution with p=1/2 , n=3 parameters. Plot the…

A: Given Data: n=3 p=0.5   Distribution function is also known as cumulative function

Q: Let X represent the weight in pounds of a king salmon caught at the mouth of certain river and…

A: Given problem Given that   Let X represent the weight in pounds of a king salmon caught at the…

Q: A random variable X is defined as the sum of the numbers on the faces when two dice are thrown. Find…

A:

Q: Suppose a household’s income is randomly drawn from the uniform distribution [0,10]. If the…

A: Given : X~U0,10 where X denotes the income. PX<A=0.1

Q: Let a, b, c, d and e be the observations with mean m and standard deviation s. The standard…

A: Stranded deviation of the ungrogrouped data

Q: a. What is the distribution of X? X - N( 17 b. What is the distribution of ? ~ N( 17 0.8451✔ 08 08…

A: given data  X~N(17,5)x¯~N(17,0.8451)

Q: 14.Suppose that the speed at which cars go on the freeway is normally distributed with mean 75 mph…

A: normal distribution

Q: the time X that a lightbulb can last (life lenght) is a distribution with mean 1 year and standard…

A: The probability that the average life length of the lightbulbs is greater than 1.02 years is 0.3446,…

Q: what is the probability the ambulance took between 6-10 mins to arrive

A: Let X denotes the time an ambulance take to arrive in response to a 911 calls. Given that X follows…

Q: The probability of Jack making a free throw is 0.90. Assume one morning, he will attempt 5 shots and…

A: X follows Binomial distribution: X ~ Binomial( n, p)

Q: Handwritten

A:

Q: Suppose we want to estimate p, the proportion of undergraduate students who cheat One strategy to…

A: Given that Y1, Y2, . . ., Yn denote the ''1/0'' ''yes/no'' responses.

Q: Let x be a random variable that represents white blood cell count per cubic milliliter of whole…

A: Given data: Mean = 7500 Standard deviation = 1750 To find: a. What is the probability that on a…

Q: The probability distribution of X, the number of imperfections for every 10 meters of a synthetic…

A: Solution-: Let, X-The number of imperfections for every 10 meters of a synthetic fabric  We have…

Q: Q.5 What are the properties of a distribution function?

A: We have to write the properties of a distribution function

Q: Let the random variable x have a normal distribution with a mean value of 70 and a varience of 25.…

A: Given data, Mean      μ=75 Variance σ2 =25 sd          σ=5 P(X<80)=?

Q: The discrete probability distribution is given by i. ii. iii. x P(X = x) 0 0 1 k Show that k Find…

A: Given data is x 0 1 2 3 P(X=x) 0 k 2k 3k

Q: Consider a t-distribution with 9 degrees of freedom. Find to.34.

A: From the provided information, Degrees of freedom = 9 Level of significance (α) = 0.34