In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. What are the chances that a person who is murdered actually knew the murderer? The answer to this question explains why a lot of police detective work begins with relatives and friends of the victim! About 63% of people who are murdered actually knew the person who committed the murder.† Suppose that a detective file in New Orleans has 62 current unsolved murders. Find the following probabilities. (Round your answers to four decimal places.)   (a) at least 35 of the victims knew their murderers (b) at most 48 of the victims knew their murderers (c) fewer than 30 victims did not know their murderers

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A:

Q: If X is a random variable with a mean of 20 and a standard deviation of 5, what is the probability…

A: probability that X is greater than 25=0.1587

Q: suppose a well mixed cookie dough will produce cookies with a mean of seven chocolate chips a…

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Q: Example: If 25 percent of all patients with high blood pressure have bad side effects from a certain…

A: The probability that a patient with hypertension may have negative side effects from a particular…

Q: ppose the number of births at a local hospital follows a Poisson distribution with a mean of 6…

A: given data  λ = 6 births per week cx = no. of births in a week P(x=X) =e-λ(λ)xx!

Q: In an certain species of newt, offspring are born either green or black. Suppose that 45% of these…

A: The mean of the sampling distribution of the sample proportion. The standard deviation of the…

Q: Suppose you work in human resources at a tech company and you're hiring four employees to work in IT…

A: P(good worker) = p = 0.70sample size(n) = 4x = no.of good workersP(X=X) =nCxpxqn-x   ____binomial…

Q: A courier service company wishes to estimate the proportion of people in various states that will…

A: number of samples, n = 330 true proportion, p = 0.05 Let, p^ be the sample proportion.  Hence p^…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: n=60, p=0.61

Q: Suppose you throw two dice and take the sum as a discrete random variable. Let us assume you take a…

A: When you throw two dices together, each dice will show a number ranging from 1 to 6 on the side…

Q: What are the chances that a person who is murdered actually knew the murderer? The answer to this…

A: This is a binomial distribution problem with n = 60 and p = 0.61. We can use the binomial…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: Normal approximation

Q: A traffic light is set to switch from red to green according to a uniform distribution with a mean…

A: The cumulative density function for uniform distribution is  F(X)=x-ab-a The mean of uniform…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given: p=0.61q=1-p=1-0.61=0.39n=68 X=Victims did not know their murderers X~Binomn=68, p=0.61

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: In an certain species of newt, offspring are born either green or black. Suppose that 60% of these…

A: Given Information: p = 60%  Sample size (n) = 144

Q: In an certain species of newt, offspring are born either green or black. Suppose that 50% of these…

A: Here sampling distribution of proportion is normal because sample size is too large

Q: a. What is the distribution of X?X - ? ✓ Please show the following answers to 4 decimal places. b.…

A: As per policy I have calculated 3 subparts kindly REPOST for remaining parts with note I need this…

Q: Suppose that 70% of civil servants in South Africa are trade union members. Using the binomial…

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Q: Suppose you work in human resources at a tech company and you're hiring four employees to work in IT…

A: Given data  Binomial distribution P(being good worker) =p=0.70 n= No. of trials = 20 x=No. of…

Q: What is the binomial distribution?

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

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Hey, since there are multiple subparts posted, we will answer the first three subparts. If you want…

Q: In a family with 2 ​children, the probability that all the children are girls is approximately…

A:

Q: need to estimate it to within 0.05 with probability 0.99, if before conducting the study (a) you are…

A: E=0.05 Significance level=99%=0.99

Q: A study showed that the sex ratio of children born to families in a native community of Ontario…

A: A study showed that the sex ratio of children born to families . Given: A news paper report about…

Q: About 78% of all female heart transplant patients will survie for at least 3 years. Sixty female…

A: From the provided information, Population proportion (p) = 0.78 Sample size (n) = 60

Q: If 5% of patients undergoing surgery get infected, what is the chance that 10 or more of the next 30…

A: probability mass function of B.D is = f ( k ) = ( n  k ) p^k * ( 1- p) ^ n-kwhere       k = number…

Q: Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children…

A: Let, p= getting affected by asthma =120=0.05 n= sample size= 250 X = number of affected children.…

Q: In the following problem, check that it is appropriate to use the normal approximation to the…

A: Given,n=64p=0.6q=1-pq=1-0.6=0.4np=64×0.6=38.4≥5nq=64×0.4=25.6≥5Therefore we can use normal…

Q: If the probability of busy time from a mobile phone connection is p=0.04. To find out that 4…

A: Probability distribution describes all possible values that a random variable can take within the…

Q: A government sample survey plans to measure the total cholesterol level of an SRS of men aged 20-34.…

A: Note: As it is not logical that “the probability that x falls within + or -2 milligrams per…

Q: You know that 0.90 is the probability of seeing a guy with a blue shirt. Suppose that you see three…

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Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

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Q: Use a normal approximation to find the probability of the indicated number of voters. In this case,…

A: It is given that variable X represents the number of eligible voters who voted. X~B (123, 0.22).