Suppose that in a factory that manufactureselectric cars, 96% of the cars are without anydefect. A random sample of 12 electric cars isselected. Let X be the number of electric carsthat are without any defect.a) What is the probability that X is atleast? Explain your answer in fulldetails.b)mostCalculate the probability that X is at

Answered: Image /qna-images/answer/35478dc3-0af7-4ed1-bf4a-493cba8e9a80.jpg

Answered: Suppose that in a factory that…

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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A particular lake is known to be one of the best places to catch a certain type of fish. In this table, x = number of fish caught in a 6-hour period. The percentage data are the percentages of fishermen who caught x fish in a 6-hour period while fishing from shore. A) Find the probability that a fisherman selected at random fishing from shore catches one or more fish in a 6-hour period. B) Find the probability that a fisherman selected at random fishing from shore catches two or more fish in a 6-hour period. C) Compute ?, the expected value of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4). D) Compute ?, the standard deviation of the number of fish caught per fisherman in a 6-hour period (round "at least 4" to 4).
The probability that a machine develops a fault within the first 3 years of use is 0.003. If 40 machines are selected at random, the probability that 38 or more will not develop any faults within the first 3 years of use is ....
Vehicles pass through a junction on a busy road at an average rate of 200 per hour. Determine the following: 1. The probability that less than 50 vehicles will pass through the junction in the next 30 minutes. 2. The probability that more than 200 will pass through the junction in the next 30 minutes.
According to a study, the probability that an individual will cover his or her mouth when sneezing is 0.29. If 10 randomly selected individuals are observed, compute the following probabilites. Your answers should be rounded to four decimal places. The probability that five individuals will cover their mouth when sneezing is The probability that six or less individuals will cover their mouth when sneezing is
A random variable follows a binomial distribution with the probability of success for one trial at 0.745 and 18 randomly selected trials. Round to the fourth. a) Find the mean of the distribution. b) Find the standard deviation of the distribution c) Find the probability of exactly 13 successes.
COMPUTE RANGE * From the 50 scores below, 48 56 53 60 43 65 62 72 38 66 32 37 60 49 56 62 73 63 52 52 38 42 56 71 48 59 42 55 66 63 70 35 39 67 32 48 37 38 39 73 63 50 48 50 44 50 52 43 42 70 50 41 32 73
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40% of consumers believe that cash will be obsolete in the next 20 years. Assume that 6 consumers are randomly selected. Find the probability that fewer than 3 of the selected consumers believe that cash will be obsolete in the next 20 years. The probability is (Round to three decimal places as needed.) ...
Assume that the height, X, of a college woman is a normally distributed random variable with a mean of 65 inches and a standard deviation of 3 inches. Suppose that we sample the heights of 180 randomly chosen college women. Let M be the sample mean of the 180 height measurements. Let S be the sum of the 180 height measurements. All measurements are in inches. Using R and write the code out.a) What is the probability that X < 59? b) What is the probability that X > 59? c) What is the probability that all of the 180 measurements are greater than 59? d) What is the expected value of S? e) What is the standard deviation of S? f) What is the probability that S-180*65 >10? g) What is the standard deviation of S-180*65 h) What is the expected value of M? i) What is the standard deviation of M? j) What is the probability that M >65.41? k) What is the standard deviation of 180*M? l) If the probability of X > k is equal to .3, then what is k?
Data packets containing 100 bits are transmitted over a communication link. Given that the probability of a bit 1 in a data packet is p = 0.2, generate the random outcomes for 40 data packets. Find the occurrence of bit 1 and its relative frequency in each packet.
A recent survey of 1050 U.S. adults selected at random showed that 647 consider the occupation of firefighter to have very great prestige. Estimate the probability (to the nearest hundredth) that a U.S. adult selected at random thinks the occupation of firefighter has very great prestige.

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