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1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate P(x) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution in tabular form.

1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate P(x) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution in tabular form.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate P(x) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution in tabular form. 2. Suppose X is a binomial random variable with n = 5 and p = 0.5. a. DisplayP(x) in tabular form. b. Compute the mean and the variance of x. 3. Over the years, a medical researcher has found that one out of every ten diabetic patients receiving insulin develops antibodies against the hormone, thus, requiring a more costly form of medication. a. Find the probability that in the next five patients the researcher treats, none will develop antibodies against insulin. b. Find the probability that at least one will develop antibodies.
Transcribed Image Text:1. Suppose X is a binomial random variable with n = 4 and p = 0.2. Calculate P(x) for each of the following values of x = 0, 1, 2, 4. Give the probability distribution in tabular form. 2. Suppose X is a binomial random variable with n = 5 and p = 0.5. a. DisplayP(x) in tabular form. b. Compute the mean and the variance of x. 3. Over the years, a medical researcher has found that one out of every ten diabetic patients receiving insulin develops antibodies against the hormone, thus, requiring a more costly form of medication. a. Find the probability that in the next five patients the researcher treats, none will develop antibodies against insulin. b. Find the probability that at least one will develop antibodies.
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