Problem 9. A certain type of mint has a label weight of 20.4 grams. Suppose that the probabilityis 0.90 that a mint weighs more than 20.7 grams. Let X equal the number of mints that weigh morethan 20.7 grams in a sample of eight mints selected at random.(i) How is X distributed if we assume independence?

Given ,A certain type of mint has a label weight of 20.4 grams.And we suppose that the probability…

Answered: Problem 9. A certain type of mint has 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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2. Let the random variables Y, Y,, ...,Y, be normally distributed with mean 10 and variance 4. Find a valuek such that Σ ;- 10 2
It has been determined that the distribution of faulty products in a factory conforms to Poisson. 2% of the products produced monthly are defective. Calculate the probability of finding 3 defective parts in 250 randomly drawn samples.7a. 0.140b. 0.095c. 0.091D. 0.253to. 0.145
Solve normal distribution problem #11
2. Suppose X is a normally distributed random variable with a mean of 9.00. If the probability that X is less than 9.66 is 0.67, then what is the standard deviation of X?
A randomly selected group of 560 students are assumed to have heights distributed normally with meanµ = 166 cm and standard deviation σ = 30 cm. Suppose a student is chosen randomly from this group. Finda. the probability that this student’s height is between 170 cm and 182 cm.b. the probability that this student’s height is bigger than 175 cm.
We are playing a game. I randomly say a whole number and if you guess its parity (odd or even) correctly, we spin a wheel which signifies the money you are going to win. (distributed uniformly randomly between 0 and 1000 Rupees). And if your guess is wrong, you must give me 200 rupees. Your profit is determined by the random variable X. Find and graph the distribution of X (CDF) and hence determine the probability of you not winning at least 500 rupees.
Suppose that 70% of Americans support the death penalty for persons convicted of murder. Let p> (p hat) be the sample proportion of proportion of people who support the death penalty in an SRS of Americans. Suppose we set our sample size to be n=84. What is the probability of choosing an SRS in which between 65% and 73% of the people in the people in the sample support the death penalty? That is, find P(0.65<p(phat)<0.73). Show your work and box your answer.
1. Suppose that X is the number of defective items found in a sample size of 3 from a box containing 5% defective items, what is the probability that there will be only one defective item from the selected pieces? 2. The store manager of a certain company recorded the following probability distribution for the number of items (X) sold during weekends. 1 2 3 4 P(X) 0.10 0.25 0.15 0.30 0.20 Compute the mean, variance, and standard deviation of the probability distribution.
Q.6. Use the binomial distribution in which n 6 and p = 0.3 to %3D calculate the following probabilities: (a). X is at most 1. (b). X is at least 2. (c). X is more than 5. (d). X is less than 6.
10. STATEMENTS FIRST: THE SYMBOL FOR POPULATION MEAN IS X̄ SECOND: THE SYMBOL USED TO REPRESENT SAMPLE VARIANCE IS S 2 A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE 11. STATEMENTS FIRST: IF A DISTRIBUTION HAS TWO MODES, IT IS KNOWN AS MULTIMODAL SECOND: IF EACH DATA APPEARED ONCE ONLY, THEN THE MODE IS 0 A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE12. STATEMENTS FIRST: SPREAD IS ANOTHER TERM FOR THE MEASURE OF DISPERSION SECOND: VARIANCE IS THE MOST RELIABLE MEASURE OF DISPERSION A. IF BOTH STATEMENTS ARE TRUEB. IF BOTH STATEMENTS ARE FALSEC. IF THE FIRST IS TRUE AND THE SECOND IS FALSED. IF THE FIRST IS FALSE AND THE SECOND IS TRUE
1. The amount of time a train is late is Uniformly Distributed with a minimum of 2 minutes and a maximum of 27 minutes. Let X be the amount of time the train is late on a particular day. a. Find the mean of X and the standard deviation of X b. Find the probability that the train is more than 6 minutes late. c. Find the 90th percentile of X d. If the train is already 6 minutes late, find the probability that it will be more than 12 minutes late. e. Find the probability that the train will be less than 20 minutes late given that it is at least 5 minutes late.

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