1. The probabilities that a patient will have 0, 1, 2, or 3 medical tests perfor

Question

1. The probabilities that a patient will have 0, 1, 2, or 3 medical tests performed on entering a hospital are__ distribution for this data and draw a graph for the distributiorn. Let X be the number of the medical tests in question 1. Find the mean and variance of X. and -+- respectively. Construct a probability 15' 15' 195 15 2. 3. A student takes a 20-question, multiple choice with five choices for each question and guesses on each question. Find the probability of guessing at least 15 out of 20 correctly. Would you consider this event likely or unlikely to occur? Explain why? 4. Let X be the number of correct answers in question 3. Find the mean and variance of 5. Let Z be a standard normal random variable. Find the following probabilities a) P(Z 1.64 c) P(-1.64

Explanation / Answer

Please post 1 question per post, as per forum rules.

5.

We make use of the Z-distribution tables to solve the problem:

a. P(Z<-1.64) = .0505

b. P(Z>1.64) = 1-.9495 = .0505

c. P(-1.64<Z<1.64) = .9495 - .0505 = 0.899

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