Use the normal approximation to the binomial distribution to find the probability that, out of 1500 cases, a vaccine will be effective between 1150 and 1250 cases, inclusive.

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A: The random variable X, which reflects the time it takes to see a shooting star during a meteor…

Q: X₁, X2,...,xn is a random sample from the population that follows a Poisson distribution with the…

A: Given information: Given x1, x2, x3,................... xnis  a random sample from the population…

Q: served at a cafeteria is a random variable having an exponential distribution with a mean of 3…

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Q: If random variable X has a binomial distribution with 14 and P(success) 0.3, find the mean of X

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Q: If 40% of all commuters ride to wirk in carpools, find the probability that if 8 workers are…

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: If random variable X has a binomial distribution with 18 and P(success) 0.3, find the mean of X.

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Q: According to the Bureau of Transportation​ Statistics, 81.9​% of American Airlines flights were on…

A: From the given information, Consider, X be the random variable that shows flights will arrive on…

Q: From past experience a company knows that on average 5% of their concrete does not meet…

A: Given data: p = 5 % n = 2000 x = 75

Q: The 10-yr and 25-yr floods of a certain river are respectively, 73 m3/s and 84 m3/s. Based on the…

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Q: Use the normal approximation to estimate the probability of getting exactly 48 girls in 100 births.…

A: Given: The sample size of births is n=100. The probability of birth of a girl is p=0.5. For Binomial…

Q: It is estimated that 12% of the vehicles entering Canada from the United States carry undeclared…

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Q: Estimate the indicated probability by using the normal distribution as an approximation to the…

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Q: Use the normal approximation to the binomial distribution to find the probability that, out of 1500…

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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 75% of the age group 1 through 4 years regularly utilize seat belts. Find the probability…

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Q: ailure rate per hour

A: The device has an advertised failure rate of 0.01 per hour.The failure rate is constant.The…

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: The probability that a patient recovers from a stomach disease is 0.8. Suppose that 100 people…

A: Let p be the probability that a patient recovers from a stomach disease  Given  n=100, p=0.8  Note:…

Q: use a normal approximation to find the probability of the indicated number of voters. in this case…

A: Normal approximation to the binomial: From the given information, sample size, n = 148. The…

Q: An experiment with a probability of success given as 0.30 is repeated 90 times. Use the normal…

A: Probability of success(p)=0.30sample size(n)=90Let "x" be the no. of…

Q: Derive the negative MGF of binomial distribution

A: We have to derive mgf(moment generating function) of binomial distribution.

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225and the mean…

A: The probability of a bulb lasting for at most 540 hours is calculated below:

Q: Suppose a fair coin is flipped 3000 times and counted the number of heads and tails. Using the…

A: Fair coin is flipped 3000 times and counted number of heads and tails. Probability of getting head…

Q: In a certain population of people, the chance of a person having a fatality is 2.7% and this is…

A: Given information- We have given that the chance of a person having a fatality is 2.7%. P = 0.027…

Q: Find the probability of x=19x=19 successes given the probability p=0.66p=0.66 of success on a single…

A: The probability of success is p = 0.66 Number of trials n = 20 Let X denote the number success in 20…

Q: A restaurant has 5 lines. Customers being dispatched to each line at a .25 probability. If customers…

A: GivenThe number of lines in restaurant or number of service  s=5The customers arrive at the…

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: Estimate the indicated probability by using the normal distribution as an approximation to the…

A: Binomial approximation:The normal distribution can be used as an approximation to the binomial…

Q: normal distribution has a mean of u= 28 and o= 4. If one score is randomly selected from the…

A: Given that  A normal distribution has a mean of u= 28 and o= 4.  By using standard normal…

Q: Assume that a procedure yields a binomial distribution with a trial repeated n = 5 times. Use some…

A: Given information: Trials, n=5 Probability of success on a single trial, p=0.227

Q: Assume that 64% of drivers ed students pass their driving test, and that this situation is modeled…

A: Binomial Distribution: If X is a discrete random variable and it is to follow Binomial distribution…

Q: Find the mean the of the probability distribution of the random variable if P(X) = x-3/15 for X= 7,8…

A: Formula : μ = E(x) = Σx * p(x)

Q: It is estimated that 10% of the vehicles entering Canada from the United States carry undeclared…

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Q: Use the normal approximation to the binomial to calculate the probability of getting more than 39…

A: Givenn=400p=0.08x=no.of defectivesx~Binomial(n=400,p=0.08)P(X=x)=Cxnpx(1-p)n-x  ; x=0,1,....n