In a family with 2 ​children, the probability that all the children are girls is approximately 0.25. In a random sample of 1000 families with 2 ​children, what is the approximate probability that 220 or fewer will have 2 girls? Approximate a binomial distribution with a normal distribution.

Q: About 79% of all female heart transplant patients will survive for at least 3 years. Eighty female…

A: Consider that p is population proportion of female heart transplant patients, who are surviving for…

Q: Use a normal distribution to estimate the probability of more than 55 girls being born in 100…

A: Given that, The Mean and Standard deviation are, Check the conditions of normal approximation to…

Q: In Binomial Distribution, If q=60% and n=12, then the mean is 0.72. (True or False)

A: Solution: From the given information, q=0.60 and n=12.

Q: The probability of success, p, can change in repeated trials of a binomial distribution. True or…

A: It is False.

Q: A surfboard factory just discovered a manufacturing error that causes some of the surfboards to…

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Q: Women make up 24% of the science and engineering workforce. Use the normal approximation to the…

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Q: According to the Department of Education, 60% of college students enjoy taking Statistics. Suppose…

A: Let  X be the number of students who enjoy taking Statistics in a sample of 200. Given n = 200…

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: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: Assume the standard deviation is 40000 dollars. Suppose you take a simple random sample of 53…

Q: A San Diego interviewer has found that one in four people approached will agree to take part in her…

A: Solution: Let X be the random variable that the number of people will agree to an interview. The…

Q: What is mean and variance of the probability distribution?

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Q: A drug tester claims that a drug cures a rare skin disease 76​% of the time. The claim is checked by…

A:

Q: The time it takes to drive through the middle of campus follows a uniform distribution with a…

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Q: A drug tester claims that a drug cures a rare skin disease 65 ​% of the time. The claim is checked…

A: The mean is, μ=np=100×0.65=65 The standard deviation is, σ=np1-p=100×0.65×1-0.65=22.75=4.7697 The…

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: we haven=90

Q: A drug tester claims that a drug cures a rare skin disease 75% of the time. The claim is checked by…

A: Given, ( n = 100 ): Number of patients tested.( p = 0.75 ): Probability of a patient being cured as…

Q: Suppose there are many students like Judy (apply to 10 colleges, probability of acceptance is .4,…

A: Given that 10 colleges, probability of acceptance is 0.4 and number of acceptances is distributed…

Q: It has been observed that the number of traffic accidents on the L.I. expressway requiring medical…

A: Given that mean = 4 So  X~P(4) We know that p.d.f. of Poisson distribution is given by, p(x)=…

Q: The number of packages a business receives in a week is a random variable with a mean and variance…

A: Considering the variable "no. of received packages in a week" only assumes a distinct non-negative…

Q: Burger Hut sells 224 burgers on an average day, with a variance of 9 burgers. How many burgers…

A: Given: Population average number of burgers sold μ=224 Population variance σ2=9 Here, the number of…

Q: Suppose you have a bucket of 150 balls: 47 red, 62 blue, and 41 green. Describe the distribution for…

A: Given that there are 150 balls. Among 150 balls, 47 red, 62 blue, and 41 green.  P(green…

Q: About 79% of all female heart transplant patients will survive for at least 3 years. Seventy female…

A:

Q: 4. Chris has a 1% chance of typing a word incorrectly. Find, to three decimal places, the…

A:

Q: In order to be considered for a tier 1 point guard in women’s basketball, you need to be 5’8”. Let’s…

A:

Q: What is the binomial distribution?

A: The binomial probability distribution is a discrete probability distribution in which the outcomes…

Q: A nutritionist asks a client to record the number of calories he consumes each day for 6 months. The…

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Q: If the mean and variance of a binomial distribution are 4 and 2 respectively. Find the probability…

A: Given,The mean of a binomial distribution is, np = 4The variance of a binomial distribution is,…

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…