A small boutique sells five different types of handmade candles. The probability distribution ofthe number of candles sold in a day is as follows:Number of Candles (X) Probability (P(X))012340.100.150.200.250.30(a) What is the probability that exactly 3 candles are sold on a given day?(b) Calculate the expected number of candles sold in a day.(c) If the boutique sells candles for two consecutive days, what is the probability that they sell 2candles one day and 3 candles the next?

The probability distribution of the number of candles sold in a day is given as,Number of…

Answered: A small boutique sells five different…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Condom Failure Rate: According to the Department of Health and Human Services, the failure rate for male condoms is 18%. The accompanying table is based on the failure rate of 18%, where x represents the number of condoms that fail when six are tested. x P(x) 0 0.304 1 0.400 2 0.220 3 0.064 4 0.011 5 0.001 6 0+ Does the table describe a probability distribution? Why or Why not? Assuming that the table does describe a probability distribution, find its mean? Assuming that the table does describe a probability distribution, find its standard deviation? If 6 condoms are tested and 5 of them fail, is 5 a significantly high number of failures? Why or Why not? What does the symbol 0+ represent?
The probability distribution of the random variable X is given in the following table. Random variable, x -2 -1 0 1 2 3 P(X = x) 0.10 0.15 0.05 0.20 0.15 0.35 Find the following probabilities. (a) P(X = 0)(b) P(X ≤ 0)(c) P(-1 < X ≤ 4)(d) P(X ≥ 1)
Spectrum provides cable television and internet service to millions of customers. Suppose that the management of Spectrum subjectively assesses a probability distribution for the number of new subscribers next year in the state of New York as follows. f(x) 100,000 0.05 200,000 0.20 300,000 0.25 400,000 0.35 500,000 0.10 600,000 0.05 (a) Is this probability distribution valid? Explain. This probability distribution ---Select--- valid because ---Select--- | for x = 100,000, 200,000, 300,000, 400,000, 500,000, 600,000. Also, f(x) (b) What is the probability Spectrum will obtain more than 400,000 new subscribers? (c) What is the probability Spectrum will obtain fewer than 200,000 new subscribers?
Suppose the probability distribution of x, the number of defective tires on a randomly selected car checked at a certain inspection station, is given in the following table. 1 4 p(x) 0.54 0.18 0.07 0.03 0.18 (a) Calculate the mean value of x. (b) What is the probability that x exceeds its mean value?
Which of the following is a legitimate probability distribution? (d) No. Prob 0.10 (e) No. Prob. (a) No. Prob. 1/4 (b) No. Prob. (c) No. Prob. 0.1 1. 1/4 2. 2. 0.2 2. 0.11 2. 3. 3. 3. 3. 0.25 3. -1 3 1/4 1/4 0.05 0.26 4. 4 4. 4. 0.3 4 4 1/4 04 O a Oc
Which of the given distributions represents a probability distribution? (i) X 1 2 3 4 O only (ii) O only (iii) O only (i) P(x) O (only (i) and (ii) 0.22 O Only (ii) and (iii) 0.36 0.29 0.16 (ii) X 5 6 7 8 P(x) 0.25 -0.22 0.41 0.12 (iii)
(i) Construct the probability distribution table (ii) What is the probability that there will be at most 1 car in the parking lot? (iii) Calculate the expected number of cars in the parking lot at midday
The probability distribution given below represents the projected profit (in thousands of dollars) earned from a business over a year. Profit (x) in thousands of dollars f(x) -100 0.05 -50 0.15 0 0.30 50 0.35 100 0.12 200 0.03 a.) What is the probability that the business will operate at a loss for the year? b.) What is the probability that the business will break even? c.) What is the expected value for profit? Fill out the table below to help you calculate the value.
Igloo Ices recently introduced a new snack product to its customers, the Polar Ice cream sandwich. The number of sandwiches sold over the last 5 days is described by the following probability distribution. Number of sandwiches, x Probability, P(x) 15 0.25 20 25 30 35 0.15 0.12 0.08 (a) What is the probability that 20 sandwiches were sold. (b) Calculate the expected number of sandwiched to be sold. (c) Calculate the standard deviation for the number of sandwiches sold.
The probability distribution of number of televisions per household in a small town x 0 1 2 3 P(x) 0.03 0.15 0.33 0.49 Find the probability of randomly selecting a household that has one or two televisions.
Production of steel rollers includes, on average, 8 per cent defectives. Determine the probability that a random sample of 6 rollers contains: (a) 2 defectives (b) fewer than 3 defectives.
Components coming off an assembly line are either free of defects (S, for success) or defective (F, for failure). Suppose that 80% of all such components are defect-free. Components are independently selected and tested one by one. Let y denote the number of components that must be tested until a defect-free component is obtained.

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