A lab orders 100 rats a week for each of the 52 weeks in the year for experiments thatthe lab conducts. Prices for 100 rats follow the following distribution:Price:$10.00$12.50$15.00Probability:0.350.400.25How much should the lab budget for next year's rat orders be, assuming thisdistribution does not change?

Introduction :- By utilising given information we have to estimate the labs budget for next year's…

Answered: A lab orders 100 rats a week for each…

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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Question 8:Patients receive or send an average of 41.5 text messages per day.A. How many text message users receive or send per hour?B. What is the probability that an email user receives at most 2 emails per day?C. What is the standard deviation?
Suppose that the value of a stock varies each day from $8.82 to $21.17 with a uniform distribution. Find the third quartile; 75% of all days the stick is below what value?
L10Q7.Find the unknown value from the following probability distribution.
For numbers 26-30, refer to the following: A roulette wheel in an amusement park has the numbers 1 through 60. If you bet P100.00 for a randomly chosen number from 1 to 60, you will have a chance to win a cellular phone worth P5,000.00. 26-27. What is the mean or the expected value for those who take a bet? a.- 10.12 c.-16.67 d.-18.25 b. -15.40 28-30. How much the organizer will earn if 100 games will be played? ; a. P50,000.00 c. P150,000.00 b. P100, 000.00 d. P250,000.00
A ballet instructor is interested in knowing what percent of each year's class will continue on to the next, so that she can plan what classes to offer. Over the years, she has established the following probability distribution. Let X = the number of years a student will study ballet with the teacher. Let P(x) = the probability that a student will study ballet x years. Complete the table below using the data provided. (Enter exact numbers as integers, fractions, or decimals.) P(x) x*P(x) 1 0.10 2 0.10 3 0.10 4 0.30 6 0.20 7 0.05 Additional Materials O Reading
The probability distribution for damage claims paid by the Newton Automobile Insurance Company on collision insurance follows. Payment ($) Probability 0.81 0.08 0.04 0.03 0.02 0.01 0.01 0 500 1,000 3,000 5,000 8,000 10,000 Use the expected collision payment to determine the collision insurance premium (in dollars) that would enable the company to break even.
For each probability and percentile problem, draw the picture.The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 15 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection. Find the probability that the speed is more than 29 mph given (or knowing that) it is at least 20 mph. (Enter your answer as a fraction.)
Suppose there is a game where you throw a marble and, if it lands in a circle on the ground, it is counted as a success. Suppose that the probability of you throwing a marble and landing in a circle on the ground is 35%. Using the normal distribution, approximate the probability of landing in a circle on the ground 11 times or less if you play the game for 30 rounds. a. 47% b. 71% c. 56% d. 65% e. None of these
Make a probability distribution base on this tallied result: Height (in inches) Frequency 57 inches 1 59 inches 3 59.50 inches 1 60 inches 2 61 inches 5 61.20 inches 3 62 inches 1 63.2 inches 1 63.6 inches 1 64 inches 1 64.8 inches 1 65 inches 1 69 inches 1
The state of California has a mean annual rainfall of 22 inches, whereas the state of New York has a mean annual rainfall of 42 inches. Assume that the standard deviation for both states is 4 inches. A sample of 31 years of rainfall for California and a sample of 49 years of rainfall for New York has been taken. (a) Show the probability distribution of the sample mean annual rainfall for California. -2.1-14-0.7 0 0.7 1.4 2.1 199 200 21.3 22 22.7 234 24.1 inches inches ^^ inches 39.9 40.6 41.3 42 42.7 434 44.1 @0 10 14 18 22 26 (b) What is the probability that the sample mean is within 1 inch of the population mean for California? (Round your answer to four decimal places.) (c) What is the probability that the sample mean is within 1 inch of the population mean for New York? (Round your answer to four decimal places) (a) In which case, part (b) or part (c), is the probability of obtaining a sample mean within 1 inch of the population mean greater? Why? 30 34 inches
For each probability and percentile problem, draw the picture.The speed of cars passing through the intersection of Blossom Hill Road and the Almaden Expressway varies from 10 to 35 mph and is uniformly distributed. None of the cars travel over 35 mph through the intersection. State "P(20 < X < 51) = ___" in a probability question. What is the probability that the speed of a car is below 20 or above 51 mph? What is the probability that the speed of a car is below 20 given that it is below 51 mph? What is the probability that the speed of a car is between 20 and 51 mph? What is the probability that the speed of a car is exactly 20 or 51 mph? Draw the picture and find the probability. (Enter your answer as a fraction.)
a) Find the probability distribution for this data (round four decimal place).b) Find the expected number (mean) of clients Maggie sees per day (round one decimal place).c) Find the standard deviation for this distribution (round one decimal place).

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