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Work with a transformation. Here is a probability distribution for a random variable X:
Value of X
1
2
Probability
0.4
0.6
(a) Find the mean and the standard deviation of this distribution.
(b) Let Y = 3X - 2. Use the rules for means and variances to find the mean and the standard deviation of the distribution of Y.
(c) For part (b) give the rules that you used to find your answer.
Christianity teaches that God exists in three persons:
A pharmaceutical manufacturer wants to determine the concentration of a key component of cough medicine that may be used without the drug's causing adverse side effects.
Which of the following assumptions for inference about a proportion using a confidence interval are violated,
he probability that a pumpkin seed will germinate is 70%. A gardener plants the pumpkins in batches of 12. What is the mean of the distribution? What is the variance of the distribution?
Customers bought 5 times as many boxes of light bulbs as switch plates. How many of each did Light Bright Warehouse sell?
Tom works the night shift at a gas station on the edge of Champaign. One night he mixed 3 stale doughnuts in with 13 fresh doughnuts. That night 6 customers bought one doughnut each, selecting them at random. What is the probability that at least ..
question what hypothesis tests would you apply to the following four situations and specify your reasons why
Due to large losses incurred in the past several years, a firm has $2 billion in tax-loss carryforwards. This means that the next $2 billion of the firm's income will be free from corporate income taxes.
The company sells Mr. Brophy an insurance policy and he has an accident. What's the probability of Mr. Brophy being a good, medium or poor driver?
A telephone call arrived at a switchboard at random within a one-minute interval. The switch board was fully busy for 15 seconds into this one-minute period. What is the probability that the call arrived when the switchboard was not fully busy?
Find the 90% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to be accurate within 10 peaches per tree?
The company economist provides you with the following information concerning probabilities of daily sales events, where events are measured in gallons of wax sold.
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