Please show all diagrams and work. Circle your answers.1. The average weight of an NFL player is 245.7 pounds with astandard deviation of 34.5 pounds, but the probabilitydistribution of the population is unknown. If a random sampleof 32 NFL players is selected, what is the probability that theaverage weight of the sample will be less than 234 pounds.

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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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Please answer B, C, and D.
Please show all your steps.1. According to a candy company, packages of a certain candy contain 21% orange candies.Find the approximate probability that the random sample of 500 candies will contain 23%or more orange candies.
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Lesson 7: Understanding the Normal Distribution II. PRETEST: Task 1: TRUE OR FALSE, Write TRUE if the given statement is true. Otherwise, write FALSE. 1. A normal random variable is a random variable X whose distribution has the shape of a normal curve. 2. The total area of the normal probability distribution is 100. 3. All observations of any normal random variable X with the mean u and standard deviation o to a new set of observations of another normal random variable Z with mean u = 0 and standard deviation o = 1. 4. The value of a probability is a number from 0 to 1. 5. The area of a region between z = 0 and z = 2 is 0.4772. IV. EVALUATION: Direction: Fill in the blanks with the appropriate word or phrase to make the following illustration on normal random variable meaningful. 1. A random variable X whose distribution has the shape of a normal curve called 2. The shape of the normal curve is with the total area of 3. The center of the normal curve is the with the value of if it is…
For a certain group of individuals, the average heart rate is 74 beats per minute. Assume the variable is normally distributed and the standard deviation is 4 beats per minute. If a subject is selected at random, find the probability that the person has the following heart rate. Use a graphing calculator. Round the answers to four decimal places. Less than 78 beats per minute =
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Find the indicated probability. 21. A hotel estimates that 95.5% of people who book a room actually show up. If the hotel takes reservations for 122 rooms in a hotel that has 120 rooms, what is the probability that the number of people who show up will exceed the capacity of the hotel?
Please answer A, B, & C.

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