BINOMIAL DISTRIBUTION 9) Market research has shown that the cornflakes "Superman" is eaten by 20% of the population. a) Find the probability that in a random sample of 10 people exactly 3 people eat "Superman" cornflakes. b) Find the mean and the standard deviation of the number of people who eat "Superman" cornflakes in a random sample of 25 people. c) How large must a random sample be if the probability that it contains at least one person who eat “Superman" cornflakes is to be greater then 0.95?

Q: Determine the probability that the professor asks the class 9 times in one session. Let X be the…

A: Here use poission process  And given that The number of times the professor asked the class "how are…

Q: A racing car is one of the many toys manufactured by Mack Corporation. The assembly times for this…

A: Mean()=55standard deviation()=4The company closes at 5 P.M every day

Q: Three items are drawn in randomly from a population of 7 items. The item drawn may be defective or…

A: From the given Information Probability of getting non-defective p = ½ = 0.5 Let x denotes the number…

Q: An unbalance coin is tossed independently many times. The probability to obtain a Head is 0.3. Find…

A: We want to find mean and variance

Q: A student takes a multiple choice exam with 10 questions, each with four possible selections for the…

A: Given that, A student takes a multiple choice exam with 10 questions, each with four possible…

Q: A random variable X can takes values 1,2,3 or 4 with probabilities 0.6,0.2,0.15 and 0.05…

A:

Q: 1. B = number of text messages you receive in a day S = {

A: Given: Let S be a random variable that represents the number of text messages you receive in a day.…

Q: The probability that a sample mean is within +/- 1 Z of the population mean is about

A: Given that The probability that the sample mean is within +/- 1 Z of the population mean is about…

Q: 1. The average number of liters of fresh milk that a person consumes in a month is 18 iters. Assume…

A: Solution: Let x be the fresh milk that a person consumes in a month is normally distributed with…

Q: 3. A phenomenon is observed many, many times under identical conditions. The proportion of times a…

A: Here use basic definition of statical terms.

Q: find the mean and standard deviation of the number of heads obtain

A: Let q be the probability of obtaining tail and p be the probability of obtaining head. Probability…

Q: Three items are drawn in randomly from a population of 7 items. The item drawn may be defective or…

A: Given, Three items are drawn in randomly from a population of 7 items. The item drawn may be…

Q: A couple wishes to have children until they have exactly two female children in their _family.…

A: Negative Binomial distribution :  The negative Binomial distribution addressed the number trials…

Q: Ques 3) The probability of success of random variable X is 0.6. X follows a geometric distribution.…

A:

Q: A population proportion is 0.5. Suppose a random sample of 658 items is sampled randomly from this…

A: Given that : Population proportion =0.5 Random Sample =658

Q: A coin is tossed 3 times. Suppose that the random variable X is defined as the number of tails. Find…

A: We tosse a coin 3 times so  n=3 Probability of getting tail at a time = 1/2 At n= 3, P(tail) =…

Q: f(x|p) = p(1-p)²-1 for x = 1, 2, 3, ... and 0 < p < 1. a) Give the likelihood function of p? b)…

A: Given Information: The given distribution function of the geometric distribution is: fx|p=p1-p…

Q: A dice is rolled three times a. Find the probability of getting exactly 2 fours  b. Find the mean,…

A: Let X be a random variable from Binomial distribution with parameter n and p. Mean = np  Variance=…

Q: Three items are drawn in randomly from a population of 7 items. The item drawn may be defective or…

A: The given data is: Total Items = 7 Number of items drawn = 3 Number of defective items =2 X=…

Q: One in ten adults in a city visited a doctor last month. If a sample of 6 adults is selected…

A: Given,  One in 10 adults visited a doctor =&gt; p = 1/10 = 0.1 Sample size, n = 6 Let X is the…

Q: The random variable x represents the number of computers that families have along with the…

A: Mean:

Q: Find the probability that the sample mean of Xbar = 20 hours, as observed here, less than or equal…

A: We want to find the probability

Q: A random variable follows a binomial distribution with the probability of success for one trial at…

A: A random variable follows a binomial distribution, with the probability of success for one trial is…

Q: Suppose that a random variable X can take the values (0, 1, 2 ,3,4,5,8,9} all with equal…

A: Given: Probability distribution of X x p(x) 0 0.125 1 0.125 2 0.125 3 0.125 4 0.125…

Q: automatic machine in a manufacturing process is operating properly if the lengths of an important…

A: Given Data Population Mean,μ = 117.0 Population Standard Deviation,σ = 4.9

Q: Assume that different groups of couples use a particular method of gender selection and each couple…

A: Solution

Q: An automatic machine in a manufacturing process is operating properly if the lengths of an important…

A: Given data, μ=113σ=5.7

Q: (Solve using pen and paper) Cans of salmon are supposed to have a net weight of 6 oz. The canner…

A:

Q: Calculate the probability of a sample mean being at least as high as a specified value when σ is…

A: The formula for standard score of sample mean is given below: A sample of size n is selected from…

Q: Suppose a population distribution has a mean  = 150 and a standard deviation s = 30, and you draw a…

A: Given: Mean = μ = 150 Standard deviation = σ = 30 n = 100

Q: Construct a probability distribution for the data. 9. A family has three children. Let the random…

A: Probability density function is used to represent the continuous variable. Probability mass function…

Q: Assume that different groups of couples use a particular method of gender selection and each couple…

A: The probability of girl (p) is 0.5.

Q: A population proportion is 0.58. Suppose a random sample of 658 items is sampled randomly from this…

A: Given data :  Mean p = 0.58 n = 658 SD = o = √ p(1-p)/n            = √0.58(1-0.58)/658           =…