Thank you for visiting From past experience a restaurant owner has determined that 40 of those who visit her restaurant will spend at least 125 If 8 people visit. This page is designed to guide you through key points and clear explanations related to the topic at hand. We aim to make your learning experience smooth, insightful, and informative. Dive in and discover the answers you're looking for!
Answer :
Final answer:
The probability that exactly 4 out of 8 people will spend at least $125 is approximately 0.2508.
Explanation:
To find the probability that exactly 4 out of 8 people will spend at least $125, we need to use the binomial distribution. The probability of a single person spending at least $125 is 0.40. We can use the binomial probability formula to calculate the probability:
P(X = 4) = (8 choose 4) * (0.40)^4 * (1 - 0.40)^(8 - 4)
P(X = 4) = 70 * (0.40)^4 * (0.60)^4
P(X = 4) ≈ 0.2508
Therefore, the probability that exactly 4 out of 8 people will spend at least $125 is approximately 0.2508.
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Rewritten by : Jeany
The probability is 0.2322.
From the question, we have
Probability that the person who visit her restaurant will spend at least $125 is : p = 0.4
Total number of people : n= 8
Probability that 4 will spend at least $125,
P(X=4)= 8C4(0.40)^4 (1-0.4)^4
=0.2322
Probability:
Probability is another word for possibility. This area of mathematics examines how random events happen. The value might be between 0 and 1. Mathematicians have used probability to forecast the likelihood of certain events. In general, probability relates to how likely something is to happen. You can better understand the potential results of a random experiment by using this fundamental theory of probability, which also holds true for the probability distribution. Utilize probability to ascertain how likely something is to occur. Many things are difficult to foresee with absolute confidence.
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