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1. Jen will call Cathy on Saturday with a 60% probability. She will call Cathy on Sunday with an80% probability. The probability that she will call on neither of the two days is 10%. What is the probability that she will call on Sunday if she calls on Saturday? 40 Conditional Probability and Independence
2. On a table there is a double-headed coin and there is a fair coin. One of them was randomly chosen and tossed, and the outcome was a head. What is the probability that the lower side of this coin is a tail?
3. Suppose P.A/ D P.B/D :9. Give a useful lower bound on P.BjA/.
4. Two distinct cards are drawn one at a time from a deck of 52 cards. The first card chosen is the ace of spades. What is the probability that the second card is neither an ace nor a spade?
A political strategists believes that less than 55% of voters in a certain state support a particular issue. He then commission s a poll of 500 voters and 54% of them support this issue. If a = .05, is the political strategist's belief warranted
a polling agency wants to determine the size of a random sample needed to estimate the proportion of homeowners who
At a particular school with 300 female students, 50 play football, 48 play basketball, and 8 play both. What is the probability that a randomly selected female student plays neither sport?
The diameter of stabilizing O-Rings washers manaufactured at a large factory is expected to be normally distributed with a mean of 1.30 inches and a standard deviation of 0.04 inches.
Construct the sampling distribution of sample means for samples of size 2 selected from this set and construct the sampling distributions of sample ranges for samples of size 2
Construct a 99% confidence interval for the mean time taken by all statistics students to solve the computer assignment.
mathew r. is conducting a study on the dollar value of orders placed with various suppliers. a sample of 10 orders
What is the (limiting) probability that the taxi is heading for location 2? What fraction of time is the taxi traveling from location 2 to location 3? Note: Upon arrival at a location the taxi immediately departs.
A random sample of n=31 households is asked the number of TV sets in the household. The responses are-What is the mean number of TVs?
We are interested in testing to find out whether the variance of the population is vitally more than 0.003
suppose that there are a total of 18 students in an elementary school class. the teacher assigns each of the students a
When the results are collected, two of the students discover that their condence intervals dont even overlap. A student in the course who is also taking Stat 311 claims that this result is not surprising. Do you agree?
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