Answered: In the following problem check that it…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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In the following problem check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Do you take the free samples offered in supermarkets? About 56% of all customers will take free samples. Furthermore of those who take the free samples about 35% will buy what they sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offerering free samples, 321 customers passed by your counter. C. What is the probability that a customer will take free sample and buy the producf? Notice that we are given the conditional probability p(buy|sample) = 0.35, while P(sample) =0.56 D. What is the probability that between 60 and 80 customers will take the free sample and buy the product? Hint. Use the probability of success calculated in part (c)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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