7. Suppose the scores S on a probability examination are a normal random variable withmean 78 and standard deviation 6. Therefore, S~ N(78, 6²).(a) Compute P(S> 72). (Hint: You can use the normalcdf command on the TI83/84 or an online calculator for the normal distribution.) Express your answeras a decimal.(b) Find the score s such that P(S

This is a probability and statistics problem involving a normal distribution. The problem provides…

Answered: 7. Suppose the scores S on a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and standard deviation 10 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible. If one car is randomly chosen, find the probability that it is traveling more than 78 mph. If one of the cars is randomly chosen, find the probability that it is traveling between 79 and 85 mph. 85% of all cars travel at least how fast on the freeway? mph.
Suppose that the speed at which cars go on the freeway is normally distributed with mean 68 mph and standard deviation 8 miles per hour. Let X be the speed for a randomly selected car. Round all answers to 4 decimal places where possible.If one car is randomly chosen, find the probability that it is traveling more than 65 mph. If one of the cars is randomly chosen, find the probability that it is traveling between 71 and 74 mph. 63% of all cars travel at least how fast on the freeway? mph.
A particular fruit's weights are normally distributed, with a mean of 462 grams and a standard deviation of 22 grams.If you pick 23 fruit at random, what is the probability that their mean weight will be between 446 grams and 477 gramsRound to 4 decimal places, as needed.
Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
Please don't use Excel formulas
The percent of fat calories that a person consumes each day is normally distributed with a mean of about 35 and a standard deviation of about ten. Suppose that 9 individuals are randomly chosen. Let X = average percent of fat calories. For the group of 9, find the probability that the average percent of fat calories consumed is more than six. (Round your answer to four decimal places.)
Please
22
Suppose that the duration of a particular type of criminal trial is known to have a mean of 18 days and a standard deviation of 6 days. We randomly sample 9 trials.Give the distribution of ΣX.Find the probability that the total length of the 9 trials is more than 188 days. 70 percent of the total of 9 of these types of trials will last more than how long? (Round your answer to two decimal places.)days
An elevator has a play card stating that the maximum capacity is 1980 pounds 12 passengers so 12 adult male passages can have a mean way of up to 1180÷12 = 165 pounds. If the elevator is loaded with 12 adult male passengers, find the probability that it is overloaded because they have a mean weight greater than 165 lb. Assume that weights of males are normally distributed with a mean of 172 pounds and a standard deviation of 27 pounds. Does this elevator appear to be safe?
The mean weight of all Goliath grouper caught on the Treasure coast is 367 pounds, with a standard deviation of 33 pounds. Suppose a random sample of 32 Goliath Grouper from the Treasure Coast are caught and weighed. Determine the probability that the average weight of the sample of 32 Goliath Grouper is within 7 pounds of the average weight of all Goliath Grouper caught on the Treasure Coast. Round the solution to four decimal places , if necessary .
Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 200 feet and a standard deviation of 46 feet. Let X = distance in feet for a fly ball. If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 180 feet? (Round your answer to four decimal places.)

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