A company which produces light bulbs of which 3% is defective. (a). If 50 light bulbs are selected for testing, what is the probability that exactly two are defective? (b) If a distributor gets a shipment of 2000 bulbs, what is the probability that exactly 15 are defective? © If a distributor gets a shipment of 3000 bulbs, determine the mean and variance of the number of defective bulb

Q: A psychologist obtains a random sample of 20 mothers in the first trimester of their pregnancy. The…

A: Denote μ as the true mean IQ of children at 5 years of age, whose mothers played Mozart for at least…

Q: A racing car consumes a mean of 107 gallons of gas per race with the variance of 49. If 46 racing…

A: The following information has been provided: The population mean is μ=107. The sample variance is…

Q: Suppose 20% of all emergency room patients have broken bones. Of the next fifteen patients to…

A:

Q: racing car consumes a mean of 107 gallons of gas per race with a variance of 49. If 46 racing cars…

A: Given Mean=107 Variance =49 N=46

Q: Suppose a batch of metal shafts produced in a manufacturing company have a variance of 99 and a mean…

A: Sample size n=72Population mean=207Population variance=9Population standard deviation=√variance=√9=3

Q: A coin is tossed 5 times. What is the probability that a) at most 2 heads will occur? (b) At least 2…

A: Given 3 problems related to binomial distribution.  We have to find the indicated probability in…

Q: Suppose it is reported that 79 % of people subscribe to a cable or satellite television service. You…

A:

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: The mean of the normal distribution is  hours. The variance of normal distribution is The standard…

Q: The table summarizes results from 975 pedestrian deaths that were caused by automobile accidents.…

A: The data is mentioned as;   Pedestrian Intoxicated   Driver Intoxicates Yes No…

Q: Yoonie is a personnel manager in a large corporation. Each month she must review 15 of the…

A:

Q: The National Centre for Health Statistics reported that of every 883 deaths in recent years, 24…

A: The objective of the question is to find out the probability that a particular death is due to an…

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: Probability of Short-Life Batteries in a BatchWe want to find the chance of having at least 19 car…

Q: The average amount of sleep students get a night is normally distributed with a mean of 6.5 hours…

A: Draw the normal curve and shade the area to the left of z=-0.75. Refer to Standard normal…

Q: local fast-food joint reports that they sell a mean of 225.0 burgers per day with a standard…

A: We have given that  Population mean = 225 Standard deviation = 12.3 Sample size = 31

Q: What is the probability that among the students in the sample exactly 2 are female.

A:

Q: About ​80% of all female heart transplant patients will survive for at least 3 years. Seventy female…

A: Given information Probability that female heart transplant patients will survive for at least 3…

Q: The height of women in the United States is normally distributed with mean 64.5 inches and standard…

A: Given Information: Women: Mean μ=64.5 Standard deviation σ=2 Men: Mean μ=70 Standard deviation σ=1.5

Q: Suppose that the distribution of the lifetime of a car battery produced by a certain car company is…

A: The mean of the normal distribution is  hours. The variance of standard deviation is The number of…

Q: A racing car consumes a mean of 103 gallons of gas per race with a variance of 36. If 38 racing…

A: The probability of the sample mean would be greater than 101.5 gallons is 0.9382 and it is obtained…

Q: The Hurricane Science Society is attempting to gather information about upcoming hurricanes. Due to…

A: The mean number of hurricanes to hit Florida per year is 0.8 over the last 50 years. Let X…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.