Question

hello, please write down each step on how you got the answers. thank you for your...

hello, please write down each step on how you got the answers. thank you for your help.

  1. Fifty-eight percent of adults plan to purchase a Fitbit next year. You randomly select 200 adults and ask them if they plan to buy a Fitbit next year. What is the probability that at least 120 of these adults will say “Yes”?

Homework Answers

Answer #1

Here we have given that 58% of adults plan to purchase a Fitbit next year(P).

Convert this percentage into decimal from ,P=0.58

Here we selected n=200 adults

We have to find probability of at least 120 out of 200 says "yes"

p=120/200=0.60

At least 120 out of 200 says yes of purchase FItbit next year is same as

Convert p in to z-score by using below formula

z=1.43

Use excel to find this probability

=NORMSDIST(1.43)

But this syntax give you P(z<1.43)=0.9236

Here we need P(Z>1.43)

Hence P(Z>1.43)=1-P(Z<1.43)

=0.0764

The probability that at least 120 of these adults will say “Yes” is 0.0764.

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