Question
Asked Nov 1, 2019

Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. Round your answer to four decimal places.

P(X<4), n=6, p=0.5

 
 
 
check_circleExpert Solution
Step 1

Given data

n = 6

p= 0.5

Required probability...

=> P(X <4) P(X 0)P(X
1) P(X 2) P(X 3)
)x 0.5° x (1 0.5)6-0 x0.5 x (1 0.5)6-1 +(
x 0.5 x (1 0.5)6-2
x 0.53 x (1 0.5)6-3
=>0.65625
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=> P(X <4) P(X 0)P(X 1) P(X 2) P(X 3) )x 0.5° x (1 0.5)6-0 x0.5 x (1 0.5)6-1 +( x 0.5 x (1 0.5)6-2 x 0.53 x (1 0.5)6-3 =>0.65625

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