A Poisson distribution with λ =7.4 λ =7.4 and x=5 Use the probability distribution identified above to calculate the following:
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A Poisson distribution with λ =7.4 λ =7.4 and x=5
Use the probability distribution identified above to calculate the following:
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- Suppose the random error when measuring an item, find the probability α that the absolute value of the random error of at least 3 measurements in 100 independent repeated measurements is greater than 9.8, and use the Poisson distribution to find the approximate value of α.Assume that adults have IQ scores that are normally distributed with a mean of μ=100and a standard deviation σ=20. Find the probability that a randomly selected adult has an IQ less than 128.4. A Car Wash establishment operates with the number of cars that come per hour to be modeled by a Poisson Distribution with Parameter of 6.25 A. Write the Probability Density function for this Distribution B. What are the Mean number of Cars per hour and Standard Deviation for number of Cars per hour. C. How many Cars coming per hour are within 2 Standard Deviations of the Mean?
- The table below gives a discrete probability distribution x Pr(X=x) 1 0.1883 4 0.1618 7 0.1392 10 0.1199 13 0.1032 16 0.089 19 0.0763 22 0.0657 25 0 Summary metrics: Calculate the theoretically exact mean, variance (sigma^2) , and standard deviation , for the distribution. Enter your answer as a comma separated list to four decimal places, e.g. 0.1234, 0.2324, 0.4567, etc.Assume the random variable X is normally distributed, with mean μ = 53 and standard deviation o=9. Find the 15th percentile. The 15th percentile is (Round to two decimal places as needed.)Final answers should be up to 4 decimal places only. For even smaller numbers, round off to the nearest non-zero digit.
- Find MLE for the parameter of the Binomial distribution.Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ= 1.1 kg and a standard deviation of σ = 4.4 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is 0.2658. (Round to four decimal places as needed.) b. If 9 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between 0 kg and 3 kg. The probability is (Round to four decimal places as needed.)Suppose that X has a Weibull distribution with β = 2 and δ = 2400. Determine the following. a. P(X > 5000) = b. For an exponential random variable with the same mean as the Weibull distribution P(X > 5000) =
- Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o=4.9 kg. Complete parts (a) through (c) below. a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.) -CD5) This exercise uses the normal probability density function and requires the use of either technology or a table of values of the standard normal distribution. The cash operating expenses of the regional phone companies during the first half of 1994 were distributed about a mean of $29.92 per access line per month, with a standard deviation of $2.15. Company A's operating expenses were $28.00 per access line per month. Assuming a normal distribution of operating expenses, estimate the percentage of regional phone companies whose operating expenses were closer to the mean than the operating expenses of Company A were to the mean. (Round your answer to two decimal places.) %Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of μ = 1.1 kg and a standard deviation of o= 5.6 kg. Complete parts (a) through (c) below. ... a. If 1 male college student is randomly selected, find the probability that he gains between 0 kg and 3 kg during freshman year. The probability is (Round to four decimal places as needed.)
