A binomial probability experiment is conducted with the given parameters, Compute the probability of successes in the n independent trials of the experiment

Question

Question

A binomial probability experiment is conducted with the given parameters, Compute the probability of successes in the n independent trials of the experiment

n=9, p=0.5, x ≤ 3

The probability of x ≤ 3 successes is _______ (Round to four decimal places as needed.)

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

✔ Recommended Answer

Answer #1

This is a binomial distribution question with
n = 9
p = 0.5
q = 1 - p = 0.5
where
P(X = 1) =

$\\ P(X \le 3), n = 9, p = 0.5 \\ P(X \le 3) = P(0 \le X \le 3) \\ P(X \le 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) \\ P(X \le 3) = \binom{9}{0} 0.5^{0} 0.5^{9-0} + \binom{9}{1} 0.5^{1} 0.5^{9-1} + \binom{9}{2} 0.5^{2} 0.5^{9-2} + \binom{9}{3} 0.5^{3} 0.5^{9-3} \\ P(X \le 3) = 1 (0.5^{0}) (0.5^{9}) + 9.0 (0.5^{1}) (0.5^{8}) + 36.0 (0.5^{2}) (0.5^{7}) + 84.0 (0.5^{3}) (0.5^{6}) \\ P(X \le 3) = 1 (1.0) (0.002) + 9.0 (0.5) (0.0039) + 36.0 (0.25) (0.0078) + 84.0 (0.125) (0.0156) \\ P(X \le 3) = \textbf{0.001953125} + \textbf{0.017578125} + \textbf{0.0703125} + \textbf{0.1640625} \\ P(X \le 3) = 0.2539 \\ \par\noindent\rule{\textwidth}{0.4pt}$
Please hit thumBs up if the answer helped you

Add a comment

Know the answer?

Add Answer to:
A binomial probability experiment is conducted with the given parameters, Compute the probability of successes in the n independent trials of the experiment

Similar Homework Help Questions

A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in...

A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in the n independent trials of the experiment n=10, p=0.6.x=9 P(9) = _______ (Do not round until the final answer. Then round to four decimal places as needed.)
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes...

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=12, p=0.2, x ≤ 4 The probability of x ≤ 4 successes is ____ (Round to four decimal places as needed.)
A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in...

A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in the n independent trials of the experiment n-30, p=0.01, x=2 P(2)- (Do not round until the final answer. Then round to four decimal places as needed.)

A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in...

A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in the n independent trials of the experiment. n=60, p=0.97, x = 58 P(58) (Do not round until the final answer. Then round to four decimal places as needed.)
1. A binomial probability experiment is conducted with the given parameters. Compute the probability of successes...

1. A binomial probability experiment is conducted with the given parameters. Compute the probability of successes in the independent trials of the experiment. n=20, p=0.8, x = 19 P(19) (Do not round until the final answer. Then round to four decimal places as needed.)
A binomial probability experiment is conducted with the given parameters.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=9, p=0.3, x ≤ 3 The probability of x ≤ 3 successes is _______ (Round to four decimal places as needed.)

A binomial probability experiment is conducted with the given parameters.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment.n=9, p = 0.3, x ≤ 3 The probability of x ≤ 3 successes is _______ (Round to four decimal places as needed.)
A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes...

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. nequals10, pequals0.5, xequals3 Upper P left parenthesis 3 right parenthesisequals nothing (Do not round until the final answer. Then round to four decimal places as needed.)
A binomial probability experiment is conducted with the given parameters. Compute the probability of...

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n= 11, p = 0.2, x ≤ 4 The probability of x ≤ 4 successes is _______ (Round to four decimal places as needed.)Use n = 6 and p = 0.8 to complete parts (a) through (d) below. (a) Construct a binomial probability distribution with the given parameters.

A binomial probability experiment is conducted with the given parameters.

A binomial probability experiment is conducted with the given parameters. Compute the probability of x successes in the n independent trials of the experiment. n=11, p=0.25, x ≤ 4The probability of x ≤ 4 successes is _______ (Round to four decimal places as needed.)

Answer 2

A binomial probability experiment is conducted with the given parameters, Compute the probability of successes in the n independent trials of the experiment

Homework Answers

Add Answer to:
A binomial probability experiment is conducted with the given parameters, Compute the probability of successes in the n independent trials of the experiment

Post as a guest

Earn Coins