A binomial experiment consists of 500 trials. The probability of success for each trial is .4 . What is the probability of obtaining the number of successes indicated in Problems 51-58? Approximate these probabilities to two decimal places using a normal curve. (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probabilities, adjust the intervals as in Examples 3 and 4.) 185 − 220
A binomial experiment consists of 500 trials. The probability of success for each trial is .4 . What is the probability of obtaining the number of successes indicated in Problems 51-58? Approximate these probabilities to two decimal places using a normal curve. (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probabilities, adjust the intervals as in Examples 3 and 4.) 185 − 220
Solution Summary: The author calculates the probability of obtaining 185-220 successes in a binomial experiment consisting of 500 trials.
A binomial experiment consists of
500
trials. The probability of success for each trial is
.4
. What is the probability of obtaining the number of successes indicated in Problems 51-58? Approximate these probabilities to two decimal places using a normal curve. (This binomial experiment easily passes the rule-of-thumb test, as you can check. When computing the probabilities, adjust the intervals as in Examples 3 and 4.)
Q9. If A and B are two events, prove that P(ANB) ≥ 1 − P(Ā) – P(B). [Note: This
is a simplified version of the Bonferroni inequality.]
Ruff, Inc. makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 222 grams of protein and at least 162 grams of fat. If chicken costs 11¢ per ounce and grain costs 1¢ per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize cost? (If an answer does not exist, enter DNE.)
Q6. Consider a situation where cars entering an intersection could turn right, turn left,
or go straight. An experiment consists of observing two vehicles moving through
the intersection.
(a) How many sample points are there in the sample space? List them.
(b) Assuming that all sample points are equally likely, what is the probability that
at least one car turns left?
(c) Again assuming equally likely sample points, what is the probability that at
most one vehicle turns right?
Chapter 10 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License