Suppose that the probability that a patient admitted in a hospital is diagnosed with a certain type of cancer is 0.03. Suppose that on a given day 10 patients are admitted and X denotes the number of patients diagnosed with this type of cancer. The mean and the variance of Xare: None of these O E(X)=0.5 and V(X)=0.475 O E(X)=0.4 and V(X)=0.384 O E(X)=0.3 and V(X)=0.291

Q: A random variable X follows a gamma distribution having a mean of 384 and a CoV of 0.316. What is…

A: Given information: Given that the random variable X follows a gamma distribution with a mean of 384…

Q: Suppose that (x_1 - x-bar)^2 = 5.19, that (x 2 - x-bar)^2 = 1.39, and (x_3- x-bar)^2 = 1.00. Compute…

A: Given data is appropriate for measures of central tendency to find the variance for the given data.

Q: There is a p(x1) = 0.4 probability to observe x1 = 10 and p(x2) = 0.6 probability to observe  x2 =…

A: We have given that  X 10 5 P(X) 0.4 0.6

Q: Suppose that a random sample of size 20 is taken from a normal distribution with unknown mean and…

A: Sample size, Variance, Sample mean, The posterior distribution: Posterior mean, Posterior variance,…

Q: wishes to estimate the mean score achieved by all adults on the test. Find the sample size needed to…

A:

Q: Suppose you have a sample of size n for variables X and Y. The sample covariance of X and Y is…

A:

Q: A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x1 = 43.…

A: A random sample of n1 = 12 winter days in Denver gave a sample mean pollution index x¯1 = 43.…

Q: A random sample of n1 = 14 winter days in Denver gave a sample mean pollution index x1 = 43.…

A: We have given that  Sample sizes n1=14   , n2= 10  Sample means xbar1=43, xbar2=35  And standard…

Q: A random sample of n1 = 16 winter days in Denver gave a sample mean pollution index x1 = 43.…

A: The pollution index is normally distributed in both Englewood and Denver.  The sample size, sample…

Q: 7. Stress levels (measured by cortisol volume) in a certain population are normally distributed and…

A: Given values, μ=200σ=24n=9x¯=180

Q: No, this solution is not correct. The variance of an exponentially distributed random variable is…

A: We are given that L is exponentially distributed with a mean of 1/Y, where Y has a gamma…

Q: arger variance. lom variable X be the height of a random CS500 at from the same group in…

A: True

Q: If X is a normal variate with mean 5 and variance 4. Find P ( -1.5 < X < 2)?

A: Given,mean(μ)=5standard deviation(σ)=2

Q: A researcher tests their new treatment for sleep disorder among a sample of 16 individuals who have…

A: That is, there is no evidence to conclude that new treatment will improve their sleep. That is,…

Q: A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of…

A:

Q: Let I be an indicator variable with p(I) = {p , I=1 } {1-p , I=0}. Show that the variance of I is…

A: The mean is calculated as follows: EI=∑I×PI=1×p+0×1-p=p

Q: The number of cars X, used for official business purposes on any given workday of two companies, A…

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any…

Q: Arandom variable X is normally distributed with a mean of 121 and a variance of 121, and a random…

A:

Q: A sample with a mean of M = 40 and a variance of s2 = 20 has an estimated standard error of 1 point.…

A: The provided data is, M = 40 s2 = 20 Standard error, SE = 1

Q: Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941,…

A: n= 41 Sample size  s2=2.9 Sample variance σ2=5.1  Population variance

Q: 19. In Saint Tropez, the probability that it rains on a given day is 10%. Given that it rains, the…

A: f(x)=13×e−x3; x&gt;0

Q: The amount of time for a rat to get through a maze has mean 1.5 minutes and variance 1.0. Consider a…

A: Solution-: We find such that,

Q: (b) The signals {x[0]. . „x[N – 1]} are observed, that are independent and normally distributed with…

A: GIVEN : Let X(0) , X(1) , X(2),....X(N-1) are independent and normally distributed with mean zero…