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1) Suppose the mean test scores for a college enter exam is normally distributed with mean = 78 and standard deviation = 12.
a). If an individual student is selected at random, what is the probability that this student's score is over 80?
b). A classroom of 16 of these students is used as a sample. What is the probability that the class mean is greater than 80?
2) A telemarketer makes a sale on 25% of his calls. If he makes 300 calls in a night, what is the probability that he will make more than 70 sales but less than 90 sales?
3) If 2% of the calls received by BMCC switchboard are wrong numbers. Find the probability that among 210 calls received by BMCC switchboard, 4 will be wrong numbers.
a). Determine in this case whether the conditions for the Poisson approximation to the Binomial distribution are satisfied.
b). If so, please use the Poisson approximation to the binomial distribution to find the probability.
A startup company began manufacturing toy dolls tailored to environmental-oriented customers. Using linear regression, find a linear model for the Cost Function if the company's yearly costs for the next five years were (2005,$8,000,000),(2006,$1..
A study of 600 college students taking Statistics 101 revealed that 54 students received the grade of A. Typically 10% of the class gets an A. The difference between this group of students and the expected value is not significant at the 0.05 leve..
A study is conducted to estimate survival in patients following kidney transplant. Key factors that adversely affect success of the transplant include advanced age and diabetes.
Another sample of candies was opened and recorded. The sample size was 20. Below is the summary of the sample.
Let X1, ... , Xn depict a random sample drawn from the probability density function f (x; θ) = θxθ -1,0 x 1, θ > 0. Find the minimum variance bound for an unbiased estimator of θ .
18 people were poled and 10 said they have shopped at Wal-Mart and 8 said they have shopped at Target. 4 said they shopped at both. What is the probability that the group shopped at Wal-Mart or Target? Define independent and mutually exclusive even..
a sample of size 500 gave a sample proportion of 0.3. what is the standard error of the sample proportion? give your
For a normal random variable X with mean 70 and standard deviation 10. Calculate the probability that 60 80}.
Is there reason to believe there is a positive linear correlation between the number of t.v. commercials and the sale of this product?
Use the central limit theorem to find the probability that the average number of moths in 30 traps is greater than 0.6. Give your answer to four decimal places.
Assume the least squares equation is Y' = 10 + 20X. What does the value of 20 indicate?
The measurements (in millimeters) for the period from 8:00 a.m. to 10:30 a.m. follow. Use Microsoft Excel to design a mean chart and a range chart. Is the process in control or out of control?
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