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Eye color, Part II. Exercise 3.23 introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes.
(a) What is the probability that their first child will have green eyes and the second will not?
(b) What is the probability that exactly one of their two children will have green eyes?
(c) If they have six children, what is the probability that exactly two will have green eyes?
(d) If they have six children, what is the probability that at least one will have green eyes?
(e) What is the probability that the first green eyed child will be the 4th child?
(f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
If the number of dead pixels is more than μ + 3σ, the assembly line is automatically stopped and examined. What is the probability that the assembly line will be stopped?
Customers who enter the store, and ask them if they have a Ralph's card. Suppose they solicit 400 customers one day, and find that 160 of them have a Ralph's card.
A pharmaceuticals company claims to have developed a cure for the common cold. In order to test whether this is true, one group of recent cold-sufferers was given this medicine and another group was given a placebo instead.
if ho b1 0 is not rejected what is the best estimate for the value of the response variable for any value of the
Also, the sample data appear to have a bell-shaped distribution. Construct the 95% confidence interval for the mean time spent on paperwork by all managers.
Suppose that you select a Canadian province or territory at random and record X, the population (in thousands). Explain how you would calculate the mean of X
Criticize the following definitions in light of the eight rules for lexical definitions:- "Faith" means reason succumbing to insecurity.
Without doing any calculation, indicate whether the mean of the children's age in the next 15 years will be larger, smaller, or the same as the mean.
Suppose that the researcher from the previous problem repeated the study of married couples' initials using twice as many participants and obtaining observed frequencies that exactly double the original values. The resulting data are as follows:
Find a 90% confidence interval for the proportion of AA flights arriving on time.
In a random sample of 1200 graduating college students, 150 said they had participated in a study-abroad program. Is there any evidence to suggest the proportion of students participating in these programs has decreased? Use a = 0.05.
An urn has five white and five green balls. Five balls are drawn at random without replacement. Find the probability that in each odd-numbered draw a green ball is drawn.
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