Sixty two percent of 12th graders attend school in a particular urban school district. If a sample of 500 12th grade children is selected, find the exact probability that at least 290 are actually enrolled in school. Use Normal approximation to compute the probability.

Q: .What is the probability that a random fastball exceeds 170 km/h?

A: Let X denote the speeds of a baseball pitcher's fastballs. It is given that The distribution of X is…

Q: The distribution of birth weights (in g) for babies is approximately ?(2750, 560). What is the…

A: We have given that,  If babies birth weights follows normal distribution, with mean( Mu) =2750 and…

Q: A piece of wire 6 in. long is cut into two pieces at a random point. Whatis the probability that…

A: To find: The probability that both pieces of wire will be at least 1 inch long. Given: The length of…

Q: What is the probability of a stroke over the next 10 years for John Smith, a 68-year-old smoker who…

A: Introduction: The Risk of Stroke (%) is the response variable, being predicted using the predictor…

Q: An economics professional body estimates that 75% of the students taking undergraduate economics…

A: Solution: Let X be the random variable that students taking undergraduate economics courses are in…

Q: According to a census, the number of household size in a certain city was represented by a random…

A:

Q: The

A: It is given that the sample size is n=50. The probability that a workforce belongs to a union is…

Q: A four-sided die is rolled twice, and a card is drawn form a standard deck of playing cards What is…

A: Probability is chance of occurrence of an event, that is ratio of the number of favourable outcomes…

Q: Find the probability that a randomly selected student was female given that the student earned a…

A: Given:    A B C total  Male 2 19 20 41 Female 7 4 8 19 Total 9 23 28 60

Q: According to a survey, 70% of adults believe that every university student should take at least one…

A: a) Given information: p=70%=0.70 n=sample size=14 Let X be the number of adults hold to view follows…

Q: What is the probability that a particle will be in the dominant configuration? Total microstate is…

A: Given: x=13n=5005

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

A: Assuming that the probability of vaccine effect on each individual to be p=0.8 then assuming X is…

Q: The average number of automobiles per minute stopping for a gas at a particular service station…

A: Given Information: The average number of automobiles per minute stopping for a gas at a particular…

Q: The table summarizes results from 979 pedestrian deaths that were caused by automobile accidents.…

A: Where E denotes the event and S denotes the sample space.

Q: In a large population, 57 % of the people have been vaccinated. If 5 people are randomly selected,…

A: We have given that  Sample size n= 5 Success of probability p=57%=0.57 X~binomial ( n ,p)

Q: During a laboratory experiment, the average number of radioactive particles passing through a…

A: Let X be the number of radio active particles passing through a counter in one millisecond. It is…

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: Find the probability that 120 randomly selected adult males have a mean weight greater than 200 lbs.

A: It is given that the mean of the adult males is 182.9, the standard deviation is 40.8 and the sample…

Q: Twenty percent of all undergraduates at a university are chemistry majors. In a random sample of…

A: Given information:Population proportion (p) = 20%                                         p =…

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

A: The given information is that the sample of 144 eligible voters’ ages 18-24 years are randomly…

Q: In a large population, 51 % of the people have been vaccinated. If 5 people are randomly selected,…

A: It is given that the probability a randomly selected person is vaccinated is 0.51. Assuming that for…

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 11.

A: Given: An experiment of tossing a six-sided die twice.

Q: In a large population, 61% of the people have been vaccinated. If 5 people are randomly selected,…

A: From the given information, Sample size (n) = 5, Probability of success (p) = 0.61.

Q: The weekly average number of airplane crashes is 1. Whatis the probability that there will be (a) at…

A: Given Data: Let X be the random variable representing weekly average number of airplane crashes X ~…

Q: A three-bulbed flask contains five particles. What is the probability, to three significant figures,…

A: Let us assume X be the random variable representing the number of particles, out of total 5, in the…

Q: The units without evidence of gas leaks or electrical failure showed other types of failure. If this…

A:

Q: If 200 Honda Accords are randomly selected, approximately how many of them will have the braking…

A: Given data,μ=45σ=0.5

Q: Use the data to compute the probability that a motorcyclist wears a DOT-compliant helmet.

A: It is given that Number of motorcyclist wears a DOT-compliant helmet = 350 Total motorcyclist = 350…

Q: What is the probability that the diameter of a dot is less 0.0026 inch? What is the probability that…

A: Here use normal distribution table for probability from calculated z score

Q: The average number of cars arriving at a drive-thru fast food restaurant is 3 in ten minutes, what…

A: GivenAn average no.of cars arriving at a drive-thru fast food restaurant is 3 in tenminutesλ=1.5 for…

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

A:

Q: Suppose that the average number of accidents occurring weekly on a par- ticular stretch of a highway…

A:

Q: Suppose that a policeman with a radar gun is watching traffic pass on a street where it is the case…

A:

Q: The amount of time people spend at the gym follows a uniform distribution from 45 to 90 minutes.…

A: From the provided information, The amount of time people spend at the gym is uniformly distributed…

Q: Sixty percent of all children in a school do not have cavities. The probability, rounded to four…

A:

Q: When studying radioactive material, a nuclear engineer found that over 365 days, 1,000,000…

A: Solution is written in below steps.

Q: In a large population, 68% of the people have been vaccinated. If 5 people are randomly selected,…

A: P(vaccinated) = 68% = 0.68Sample size = 5

Q: Solve for the probability that a random sample of 25 sports utility vans has an average within 0.5…

A: Automotive engineers have found that the gas mileage in highway driving of a certain sports utility…

Q: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 10.

A: Find the probability for the experiment of tossing a six-sided die twice. The sum is at least 10.

Q: Find the probability that a randomly selected month had a PCE that falls below $550.

A:

Q: An industrial designer wants to determine the average amount of time an adult spends building an…

A: Given information: Confidence level = 95% Significance level α=0.05 The given data is as follows:…

Q: During a laboratory experiment, the average number of radioactive particles passing through a…

A: Given that  Average number of radioactive particles passing through a counter in 1 milliseconds=4…

Q: In a new fiber-optic communication system, transmission errors occur at the rate of 2.5 per ten…

A: Obtain the probability that more than five errors will occur during the next minute.   The…

Q: In a large population, 60% of the people have been vaccinated. If 5 people are randomly selected,…

A: Probability that the people have been vaccinated (p) = 60% = 0.60. Number of people (n) = 5. Let…

Q: Determine the expected number of boys in a family with 8 children, assuming the sex distribution to…

A: Given data Determine the expected number of boys in a family with 8 children assuming the sex…

Q: For a continuous probability distribution, 0 15)?

A:

Q: When rolling a die 142 times, what is the probability of rolling a 6 greater than 20 times?

A: np = 142/6 = 23.67 >10  n(1-p)  118.33 >10 ============ Normal approximation to binomial dist…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.