Find the mean and variance for the binomial distribution, P=0.56 and n= 8
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P=0.56 and n= 8
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- A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey of adults found that 61% have used a multivitamin in the past 12 months. You randomly select 50 adults and ask them if they have used a multivitamin in the past 12 months.Assume that adults have IQ scores that are normally distributed with a mean of 98.5 and a standard deviation of 16.9. Find the probability that a randomly selected adult has an IQ greater than 125.0Students visiting the cafeteria noticed that the diameters of donuts follow a normal distribution with a mean diameter of 3 inches and a standard deviation of 0.2 inches. Find the probability that a student will get a donut with diameter less than 3.2 inches. What is the 40th percentile for the diameters of donuts?
- The time that college students spend studying per week have a distribution that skewed to the right with a mean of 8.4 hours and a standard deviation of 2.7 hours. Find the probability that the mean time spent studying per week for a random sample of 40 is less than 7.5 hours.The distribution of sample variances tends to be a normal distribution. true or false?What position in the distribution corresponds to a z-score of z = +2.00?
- Service time for a customer coming through a checkout counter in a retail store is a random variable with the mean of 4.0 minutes and standard deviation of 2.0 minutes. Suppose that the distribution of service time is fairly close to a normal distribution. Suppose there are two counters in a store, n₁ = 46 customers in the first line and n₂ = 52 customers in the second line. Find the probability that the difference between the mean service time for the shorter line X₁ and the mean service time for the longer one X₂ is more than 0.3 minutes. Assume that the service times for each customer can be regarded as independent random variables. Round your answer to two decimal places (e.g. 98.76). P = !Last year, a person wrote 118 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?A binomial experiment is given. Decide whether you can use the normal distribution to approximate the binomial distribution. If you can, find the mean and standard deviation. If you cannot, explain why. A survey found that 88% of parents of teenagers have taken their teenager's cell phone or Internet privileges away as a punishment. You randomly select 20 parents of teenagers and ask them whether they have taken their teenager's cell phone or Internet privileges away as a punishment. Select the correct answer below and, if necessary, fill in the answer boxes to complete your choice. OA. Yes, the mean is and the standard deviation is (Round to two decimal places as needed.) OB. No, because nq < 5. OC. No, because np < 5.
- The probability that a patient recover from a rare blood disease is 0.6. It is known that 100 people have contracted this disease. It is desired to find the probability that less than one half survive. For easier computations, normal distribution is used to approximate this binomial distribution. Find the value of the standard deviation to be used in the computation.What is the standard deviation if the variance is 6.25? A, 2.5 B, 2.8 C. 3.5 D. 3.8Last year, a person wrote 116 checks. Let the random variable x represent the number of checks he wrote in one day, and assume that it has a Poisson distribution. What is the mean number of checks written per day? What is the standard deviation? What is the variance?