Answer:
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Step-by-step explanation:
The probability that the person has an IQ greater than 120 is 0.2524 of 25.24%
<h3>What is probability?</h3>
It is a branch of mathematics that deals with the occurrence of a random event.
Given:
IQ is normally distributed with a mean of 100 and a standard deviation of 15.
probability that the person has an IQ greater than 120,
P(x >120)
= P(Z > 120-100/ 15)
= P(Z > 0.667)
P(x >120) = 1- P(Z < 0.667)
= 1-0.7476
= 0.2524
= 25.24%
Hence, the probability is 0.2524.
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The probability that the next person will purchase exactly one costume is 67%.
<h3>How to calculate the probability?</h3>
Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
53 visitors purchased no costume.
151 visitors purchased exactly one costume.
22 visitors purchased more than one costume.
Total visitor = 53 + 151 + 22
= 226
Probability that the next person will purchase exactly one costume will be:
= Those with one custome / Total visitors × 100
= 151 / 226 × 100
= 67%
The probability is 67%.
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I believe Brian's game would be $46.80
30*20%=6
30+6=36
36*30%=10.80
36+10.80=46.80
hope this helps!