let X be a random variable and X-B(9,0.49) find the mean (expected value) of the random variable X
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Q: let X be a random variable and X~B(9,0.55) find the mean (expected value) of the random variable X
A: Given : X ~ B(9,0.55) If X ~ B(n,p) then, Mean : E(X) = n*p Here, n = 9 p = 0.55
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A: Given: n=7 and p=0.1 Then, the variance isVariance=np1-p=70.11-0.1=70.10.9=0.63
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- please help melet X be a random variable and X-B(10, 0.81) find P(x-7)Let X1, X2, X3, .., X36 be independent skewed random variables with mean ux = 3 and standard 2. Let X be the distribution of the mean of these 36 random variables, namely deviation ox X = X1+X2++X36 36 (a) What is the approximate shape of the distribution of X? (b) What is the mean of the distribution of X? (c) What is the standard deviation of the distribution of X? (d) Can we determine P(X < 2.5) using a z-score? You do not need to compute this probability, just answer yes or and briefly explain why or why not.
- Let X₁ and X₂ be two independent random variables with normal distributions N (1,9) and N(-3,16), respectively. Find the moment generating function of Y= X₁ + X₂. What distribution is associated with this moment generating function?A random variable represents the number of successes in 10 Bernoulli trials, each with probability of success p= 0.65. (A) Find the mean and standard deviation of the random variable. (B) Find the probability that the number of successes lies within 1 standard deviation of the mean. (A) The mean of the random variable is (Type an integer or a decimal.)What is the expected value of M - 3.11 ? What is the standard deviation of (M-3.11)/(.49)/(Sqrt(14))
- Let X be the Random Variable: x 0 1 2 = x) P(X= 0.5 0.2 0.3 Let X1, X2 be the identically distributed Random Variables so that X1, X2 ~ X. Find the expected value and variance of both X and X1 + X2.Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean ? = 62.0 kg and standard deviation ? = 9.0 kg. Suppose a doe that weighs less than 53 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2400 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 70 does should be more than 59 kg. If the average weight is less than 59 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average weight x for a random sample of 70 does is less than 59 kg…• The expected value of x is (enter an exact decimal in 0, 1). • The variance of x is (enter a decimal rounded to the third decimal place).
- A student takes a test in which they have to indicate whether each of n statements is true or false. The student knows nothing at all about the subject matter and guesses the answers randomly. Let X denote the number of correct answers (a) Write down expressions for the expectation, E(X), and the variance, var(X). Suppose the student gets three marks for every correct answer but loses one mark for every incorrect answer. Let Y denote the student’s total score. (b) Show that Y = 4X −n. (c) Write down expressions for E(Y ) and var(Y ).Let x be a random variable that represents the weights in kilograms (kg) of healthy adult female deer (does) in December in a national park. Then x has a distribution that is approximately normal with mean u = 57.0 kg and standard deviation o = 7.9 kg. Suppose a doe that weighs less than 48 kg is considered undernourished. (a) What is the probability that a single doe captured (weighed and released) at random in December is undernourished? (Round your answer to four decimal places.) (b) If the park has about 2350 does, what number do you expect to be undernourished in December? (Round your answer to the nearest whole number.) does (c) To estimate the health of the December doe population, park rangers use the rule that the average weight of n = 55 does should be more than 54 kg. If the average weight is less than 54 kg, it is thought that the entire population of does might be undernourished. What is the probability that the average welght x for a random sample of 55 does is less than…I need help with d
