Let X be a binomial random variable with n = 20 and p = 0.1. a) Find the formula for the probability distribution of X. b) Calculate P(X < 4). c) Calculate the mean and standard deviation of X.

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1. Let X be a binomial random variable with n = 20 and p = 0.1.
a) Find the formula for the probability distribution of X.
b) Calculate P(X < 4).
c) Calculate the mean and standard deviation of X.
d) Use the results of part c to calculate the intervals u ±0, u± 20, and u ± 30. Find the
probability that an observation will fall into each of these intervals.
Transcribed Image Text:1. Let X be a binomial random variable with n = 20 and p = 0.1. a) Find the formula for the probability distribution of X. b) Calculate P(X < 4). c) Calculate the mean and standard deviation of X. d) Use the results of part c to calculate the intervals u ±0, u± 20, and u ± 30. Find the probability that an observation will fall into each of these intervals.
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