Imagine that the probability that a random person will receive

elvishwitchxyp

elvishwitchxyp

Answered question

2021-12-14

Imagine that the probability that a random person will receive a phone call during this exam is approximately 16%. Let's assume that there are 24 students taking this exam. What is the probability that at least one student will receive a phone call during the exam?

Answer & Explanation

Linda Birchfield

Linda Birchfield

Beginner2021-12-15Added 39 answers

Step 1
Let p be the probability that a random person will receive a phone call during exam is 16% i.e. 0.16
q be the probability that a random person will receive a phone call during exam is 84% i.e. 0.84
n be the number of trials i.e. n=24
We have to find the probability that atleast one student will receive a phone call during the exam.
Step 2
Required probability =P(X1)
By Binomial distribution, we have
P(X=r)=nCrprqnr
Required probability =r=12424Cr(0.16)r(0.84)24r
=0.98477
Thus, the required probability that atleast one student will receive a phone call during the exam is 0.98477.
Jillian Edgerton

Jillian Edgerton

Beginner2021-12-16Added 34 answers

Step 1
P(p)=be the probability that a random person will receive a phone call during exam is 16% i.e. 0.16
P(q)=be the probability that a random person will receive a phone call during exam is 84% i.e. 0.84
P(n)=be the number of trials i.e. n=24
Required probability =P(X1)
P(X=r)=nCr×pr×qnr
=24C1×(0.16)r×(0.84)24r
=0.98477

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