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Assuming that the samples come from normal distribution, find the margin of error E given the following:
n = 16 and x̄ = 50 with s = 4.2, 95% confidence
the probability that applicants A, B and C are successful are 1/3, 2/3, 1/4 respectively. if the three were invited what is the probability that only two of them were successful
- Assume that the number of episodes per year of otitis media, a common disease of the middle ear in early childhood follows a Poisson distribution with 2.7 episodes per year. What is the probability of having at most 2 episodes in the first year of life? (Approximate your answer to 4 decimal places).
- Assume that the number of episodes per year of otitis media, a common disease of the middle ear in early childhood follows a Poisson distribution with 1.35 episodes per year. What is the probability of having 3 episodes in the first two years of life? (Approximate your answer to 4 decimal places).
We’ve all had those annoying cell phone calls from Heather, Daisy, or Oscar, trying to sell life insurance or an additional car warranty. First Orion, a call protection agency, recently issued a report that suggested 45% of all cell phone calls in 2019 will be spam. Suppose 500 cell phone calls are selected at random. Use the normal approximation to calculate the probability that less than 100 of cell phone calls will be sparm.
Answer to 4 decimal points.
Suppose a certain population of observations are normally distributed. What percentage of the observations in the population are within 1.5 standard deviations of the mean?
Events A1 , A2, and A3 are mutually exclusive and exhaustive events, with probabilities P(A1) = 0.20, P(A2) = 0.60, and P(A3) = 0.20. Given that P(B|A1) = 0.10, P(B|A2) = 0.50, and P(B|A3) = 0.40, calculate P(A3|B).
Answers to 4 decimal points.
It is known that 60% of households in South Africa own at least one dog. What is the mean number of dogs per household in South Africa?
It is known that 60% of households in South Africa own at least one dog. A survey is carried out on 20 households. The probability that 12 households visited have at least one dog is?
The probability that a randomly selected family in South Africa watches Isidingo is 0.53 and the probability that they watch Grey’s Anatomy is 0.87, whereas the probability that they watch both Isidingo and Grey’s Anatomy is 0.46. The probability that a randomly selected family watches neither Isidingo nor Grey’s Anatomy is
The probability that a randomly selected family in South Africa watches Isidingo is 0.53 and the probability that they watch Grey’s Anatomy is 0.87, whereas the probability that they watch both Isidingo and Grey’s Anatomy is 0.46. The probability that a randomly selected family watches neither Isidingo nor Grey’s Anatomy is?
Dan works in an insurance company. Last January, he was able to insure 2 persons. Last February, he was able to insure 3 persons. Last March, he was able to insure 5 persons. Assume that the samples of size 2 are randomly selected with replacement. Find the following:
a. The population mean
b. The population variance
c. The population standard deviation
d. The mean of the sampling distribution of means
e. The standard deviation of the sampling distribution of the sample means
About 23 out of 100 BSBA major in OM students can perfect their Math exam. Assuming that the probability applies the same with the other majors, what is the probability with the remaining 3300 BSBA students?
if the population consists of numbers 1,2,3,4,5 and 6,find the mean of the samples of the samples of size 3.construct a sampling distribution
