Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(5; 8, 0.3) 0.037 (b) b(6; 8, 0.55) X (c) P(3 ≤ x ≤ 5) when n = 7 and p = 0.65

Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.) (a) b(5; 8, 0.3) 0.037 (b) b(6; 8, 0.55) X (c) P(3 ≤ x ≤ 5) when n = 7 and p = 0.65

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

Compute the following binomial probabilities directly from the formula for b(x; n, p). (Round your answers to three decimal places.)
(a) b(5; 8, 0.3)
0.037
(b) b(6; 8, 0.55)
X
(c) P(3 ≤ x ≤ 5) when n = 7 and p = 0.65
(d) P(1 ≤X) when n = 9 and p = 0.15

Expert Solution

Step 1: Define the formula of the pdf of the binomial distribution

Since you have posted a question with multiple sub-parts, we will solve first three sub-

parts for you. To get remaining sub-part solved please repost the complete question and

mention the sub-parts to be solved.

The formula of the pdf of the binomial distribution is,

Where,

p denotes the probability of success,

n denotes the sample size

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