In a certain population of people, the chance of a person having a fatality is 2.7% and this is independent of any other person having a fatality. If 500 people are randomly selected from the population, use the normal approximation to the binomial distribution to find the probability that between 7 and 14 people will suffer a fatality.

Q: has been determined that the chance of becoming infected by a disease after contact with a…

A: n=50 p=0.15 x=? Using binominal distribution: P(X=x)=50x 0.15x(1-0.15)50-x   =50x0.15x(0.85)50-x

Q: A survey showed that 75% of adults need correction for their eyesight. If 8 adults are randomly…

A: Given that 75% of adults need correction for their eyesight. There are 8 adults in the study. Let us…

Q: Find the probability that the average effective time of the pain relief drug for a sample of 25…

A: The mean is 2 hours and the standard deviation is 0.20 hours.

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: A guard patrols a museum in order to catch possible thieves. After leaving the entrance, the guard…

A: Given thatA guard patrols museum and the amount of time guard need to return to the entrance follow…

Q: The amount of time, in seconds, a cashier spends with a customer during lunch time at a fast food…

A: Suppose the random variable x defines the amount of time, in seconds, a cashier spends with a…

Q: One of the machines is causing quality problems as 5% of the engine parts produced on this machine…

A: From the provided information, 5% of the engine parts produced on this machine have been found to be…

Q: Many track runners believe that they have a better chance of winning if they start in the inside…

A: Given Information: Starting position 1 2 3 4 5 6 Total Number of wins 45 36 38 47 34 52 252…

Q: The percentage of students passing exam is 20% (assume every student takes the test). You randomly…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Suppose you draw a random sample of 100 observations from a population with a variance = 25. What is…

A:

Q: he average number of calories in a 1.5-ounce chocolate bar is 225. Suppose that the distribution of…

A:

Q: A survey indicates that 23% of US men select fishing as their favorite leisure activity. If you…

A: The mean is, μ=np=100×0.23=23 The standard deviation is, σ=np1-p=100×0.23×1-0.23=4.2083 The mean is…

Q: Suppose 60%of a large group of animals is infected with a particular disease. Let X be the number of…

A: Given p = 0.60 n = 5 X be the number of infected animals X ~ B(n, p) P(X=x)=Cxn px(1-p)n-x ;…

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

A:

Q: 45% of Americans don't know the sun is a star. The data is normally distributed. Find the…

A: Given that, n=120,p=0.45 The mean and standard deviation of the sampling distribution of  p^ is,

Q: The time between aircraft landing at a local airport has an exponential distribution with a mean of…

A: Let X=The time between aircraft landing at a local airport Given that X follows an exponential…

Q: In a local university, 67% of the students live in the dormitories. A random sample of 70 students…

A:

Q: Suppose a biologist is interested in monitoring the number of oak trees with oak wilt per acre. The…

A:

Q: that 60% of voters support a new tax on fast food. If we poll 216 of these voters at random, the…

A: It is given that population proportion (p) of voters who support a new tax on fast food is 0.60.…

Q: The probability that it snows in a particular city on any given winter day is 13%. What is the…

A: The probability that it snows in a particular city on any given winter day is 13%.  The number of…

Q: The random variable X has a normal distribution with a variance of 16 and an unknown mean. If the…

A: Given Data: X is a random variable   Variance (X)=16   X~ Normal (μ, 16) P(x>65)=0.025

Q: It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find…

A: Given that, n = 60 , p = 0.48 The mean and Standard deviation of the sampling distribution of…

Q: It has been reported that 48% of people text and drive. A random sample of 60 drivers is drawn. Find…

A: The z-score is calculated by using: Where,

Q: A city's temperature is modelled as a normal random variable with mean and standard deviation both…

A: Given: Mean=μ=10°CStandard deviation=σ=10°C

Q: Suppose that 60% of all California motorists are insured. Find the probability  that more than 55%…

A: given data  P(insured) = p = 0.60 sample size n = 100 P(p^>0.55) = ?

Q: Suppose a very safe driver has a likelihood of getting into an accident of 1/20 every year.…

A: Given Rate=1/20 every year  P(X≥1)=? Let X be the number of accident

Q: The mean of childhood asthma prevalence in 43 cities is 2.32%. A random sample of 32 of these cities…

A: Given : mean = μ = 2.32% S.D = σ =1.30% Sample size = n = 32 PX¯>2.8 =1-PX¯≤2.8 PX¯ >2.8…

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: The experiment is to toss two balls into four boxes in such a way thát each ball is equally likely o…

A: It is given that the, There are 2 balls and 4 boxes. The experiment is to toss two balls into 4…

Q: In a Binomial Distribution consisting of 4 independent trials, probabilities of 2 and 3 successes…

A:

Q: Suppose that 1.4% of men and 3.6% of women have night-blindness. Assume the population consists of 4…

A:

Q: uppose that unknown to a geneticist, there are 6 out of 12 genes that play a significant role in…

A: Dear Student, As per the guidelines, i can asnwer only one question(or 3 subparts of it) . Kindly…

Q: If Y is a random variable from an exponential distribution with a mean of 5; what is the probability…

A:

Q: The probability of passing the bar exam in a certain state is 2/3. If 10 people passed the test at a…

A: It is given that probability of passing the bar exam in a certain state is 2/3. Therefore, the…

Q: A city temperature is modeled as a normal random variable with mean and standard deviation both…

A: given data,  Mean (μ) = 10  S.D(σ) =10Let X be normally distributed random variable P(X≤15) = ?

Q: If the probability is 0.40 that steam will condense in a thin walled aluminum tube at 10atm…

A: Given Information: The probability that the steam will condense in a thin wall aluminum tube at…