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If we toss two balanced dice, and let A be the event that the sum of the face values
of two dice is 8, and B be the event that the face value of the first one is 3. Calculate
P(A/B).
500 children participated in a field demonstration. Their heights averaged is 110 cm with a standard deviation of 6 cm. What is the probability that a child, picked at random has a height greater than 120 cm?
Random sample of size N = 2 are drawn from a finite population consisting of the numbers 1, 3, 8, 9.
Find the following:
31 35. Mean, Variance and Standard deviation of the Population.
36-40. Mean, Variance and Standard deviation of the Sample means
Suppose that in a day, the probability of a car agent’'s not closing any deal is 0.35. on the other hand, the probability that he/she can close one deal is 0.3; two deals, 0.25; and three deals, 0.1. find the agent’s expected number of closed deals in a day and determine the variance and standard deviation.
Rowena wants to test a randomly selected 20 students for her study. Identify the t value of the following percentiles.
1. 75th percentile
2.90th percentile
3. 60th percentile.
4. 99th percentile
5.50th percentile
A sample of 100 Grade 9 students’ ages was obtained to estimate the mean age of all Grade 9 students. =16 years and the population variance is 16.1.) What is the point estimate for ?
2.) Find the 95% confidence interval for .
3.) Find the 99% confidence interval for .
4.) What conclusions can you make based on each estimate?
Random sample of size N = 2 are drawn from a finite population consisting of
the numbers 1, 3, 8, 9.
Find the following:
Mean, Variance and Standard deviation of the Population.
Mean, Variance and Standard deviation of the Sample means.
Draw all the possible samples of 2 without replacement from a population consisting of 4, 9, 12, 15, 20. Contruct the sampling distribution of sample mean and verify
A machine produces cylindrical metal pieces. A sample of pieces is taken, and the diameter are found to be 1.01, 0.97, 1.03, 1.04, 0.99, 0.98, 0.99, 1.01 and 1.03 cm. Find the t-value for a 98% confidence interval for the diameters of the cylindrical metal pieces. Assume that the diameters are approximately normally distributed.
Suppose that in a day, the probability of a car agent’'s not closing any deal is 0.35. on the other hand, the probability that he/she can close one deal is 0.3; two deals, 0.25; and three deals, 0.1. find the agent’s expected number of closed deals in a day and determine the variance and standard deviation.
