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A simplified model for the movement of the price of stock supposes that on each day the stock's prices either moves up 1 unit with probability p or moves down 1 unit with probability 1-p. The changes on different days are assumed to be independent.
a. What is the probability that after 2 days the stock will be at its original price?b. What is the probability that after 3 days the stock's price will have increased by 1 unit?c. Given that after 3 days the stock's price has increased by 1 unit, what is the probability that it went up on the first day?
The probability that a person suffering from a migraine headache will obtain relief from a particular drug is 0.9. Three randomly selected sufferers from migraine headache are given the drug. Find the probability that the number obtaining relief w..
SAT I scores around the nation tend to have a mean scale score around 500, a standard deviation of about 100 points and are approximately normally distributed. A person who scores (a perfect) 800 on the SAT I has approximately what percentile rank..
Is it necessary to assume a normal distribution on the population to estimate the value of the mean spending per day? Explain.
PTC is a substance that has a strong bitter taste for some people and is tasteless for others. The ability to taste PTC is inherited. About 75% of Italians can taste PTC
Assume that the number of left-handers is a binomial random variable. (Refer to the formula for mean and standard deviation for binomial prob. Distribution)
If writing scores for population have standard deviation of σ = 20, does sample give adequate evidence to conclude that new composition course has significant effect?
Defects will go into product assembly and will have to be replaced later at a cost of $10 each when they are detected in finnal product testing.
At a local university, sample of 49 evening students was selected in order to determine whether the average age of evening students is significantly different from 21. The average age of students in the sample was 23 with a standard deviation of 3..
A bank asks customers to evaluate the drive-through service as good, average, or poor. Which level of measurement does this classification illustrate?
The value of the z-score that is obtained for a hypothesis test is influenced by several factors. Some factors influence the size of the numerator of the z -score and other factors influence the size of the standard error in the denominator.
Make a decision using the p-value approach at the given α = 0.05.
On a test whose distribution is approximately normal with a mean of 50 and a standard deviation of 10, the results for three students were reported as follows:
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