Question

Recall that the binomial distribution is given by b(x; n, ?) = (n over x) ?^x (1 - ?)^(n-x) which has mean n? and variance n?(1 - ?). (a) If X has distribution b(x; 8, 0.7) find P(X = 5). (b) Use the normal distribution to approximate P(X = 3). (c) Find the probability that X lies within 1 standard deviation off the mean.

          Recall that the binomial distribution is given by
b(x; n, ?) = (n over x) ?^x (1 - ?)^(n-x)
which has mean n? and variance n?(1 - ?).
(a) If X has distribution b(x; 8, 0.7) find P(X = 5).
(b) Use the normal distribution to approximate P(X = 3).
(c) Find the probability that X lies within 1 standard deviation off the mean.

Recall that the binomial distribution is given by
b(x; n, ?) = (n over x) ?^x (1 - ?)^(n-x)
which has mean n? and variance n?(1 - ?).
(a) If X has distribution b(x; 8, 0.7) find P(X = 5).
(b) Use the normal distribution to approximate P(X = 3).
(c) Find the probability that X lies within 1 standard deviation off the mean.

Added by Jose Antonio F.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Jen H

05/31/2023

Step 1

7. So, X ~ b(8, 0.7). (a) Show more…

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Recall that the binomial distribution is given by b(x; n, θ) = (n over x) θ^x (1 - θ)^(n-x) which has mean nθ and variance nθ(1 - θ). (a) If X has distribution b(x; 8, 0.7) find P(X = 5). (b) Use the normal distribution to approximate P(X = 3). (c) Find the probability that X lies within 1 standard deviation off the mean.