1. In a class of 100 students, 80 students passed in all subjects, 10 failed in one subject, 7 failed in twosubjects and 3 failed in three subjects. Find the probability distribution of the variable for number ofsubjects a student from the given class has failed in.2. The spinner shown below is spun two times. The probability of landing on 1 is 0.25. The probability oflanding on 2 is 0.75. Let X be the sum of the two spins. Construct a probability distribution for therandom variable x.12

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Answered: 1. In a class of 100 students, 80…

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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During the 2013 regular NBA season, DeAndre Jordan of the Los Angeles Clippers had the highest field goal completion rate in the league. DeAndre scored with 61.3% of his shots. Suppose you choose a random sample of 80 shots made by DeAndre during the 2013 season. Let X= the number of shots that scored points. Find the probability that DeAndre scored with more than 50 of these shots.
Suppose that 80% of American homes have a microwave oven. Let X be the number of American homes in a random sample of n=20 that have a microwave oven. Find the probability that X is at most 18 and at least 16.
There are two boxes. Box A contains 6 red balls, and 4 blue balls andBox B contains 4 red balls and 8 blue balls. A die is rolled, if the number is lessthan 3, a ball is selected from box A. If the result is 3 or more, a ball is selectedfrom Box B. Calculate:a. The probability that the ball will be red and selected from Box B.b. The probability that the ball will be blue.
Assume that when adults with smartphones are randomly selected, 52% use them in meetings or classes. If 25 adult smartphone users are randomly selected, find the probability that exactly 19 of them use their smartphones in meetings or classes. The probability is. (Round to four decimal places as needed.)
A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)
A factory produces a particular electrical component. On average, the probability that a component will be faulty is 0.16, independently of each other. The company sells the electrical component in a box of 7. Calculate the probability of having at least 1 faulty components. (2 d.p.)
Q.2 the probability that a missile hit the target is 0.90. If three missile of this type has been fired. Find the probability that (i) at least 2 hit the target. (ii) Exactly two hit the target.
A jar contains 12 coins: 6 pennies, 2 nickels and 4 dimes. A child selects 2 coins at random without replacement from the jar. Let X be the sum of the value of the 2 coins. Determine the probability distribution of X. Please enter the values for x in increasing order. Round your answers to three decimal places, if necessary. Hint: If you are picking two different coins, remember that you can pick one first, then the other or the other way around, and you will still end up with the same two coins. X P(X = x) 2 0.015 If you were to randomly draw two coins from this jar, how many cents do you expect to have on average? (Averages of discrete things CAN be decimals!)
The probability of an adverse reaction to a pneumonia shot is 0.15. Pneumonia shots are given to a group of 12 people. What is the probability that none of them will have an adverse reaction?
Q10. Given that the switchboard of a consultant's office receives on average 0.8 calls per minute, find the probability that in a 5-minute interval there will be exactly 4 calls, and in the following 4- minute interval, there will be exactly 1 call. (Consider the entire 9 minute interval to calculate your answer.)
If a pair of dice is tossed, find the probability of the following events:1. Two even numbers showing2. A sum less than 83. An odd sum showing4. The two numbers differ by 2 or less.

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