Issue: Suppose that a couple will have 3 youngsters. Accept that the likelihood of having a young lady is .487 and the likelihood of having a kid is .513. Additionally expect that x is an arbitrary variable for the quantity of young ladies and discover the likelihood where x is 0, 1, 2, or 3. All together words, answer the accompanying likelihood questions.

a. What is the likelihood that none of the three kids will be young ladies?

b. What is the likelihood that precisely one of the three will be young ladies?

c. What is the likelihood that precisely two of the three will be young ladies?

d. What is the likelihood that every one of the three of the youngsters will be young ladies?

Accept the speed of vehicles along an open stretch of a specific thruway in Texas that isn't vigorously voyaged has an around Normal circulation with a mean of 71 mph and a standard deviation of 3.125 mph.

a) The current posted speed limit is 65 mph. What is the extent of vehicles going over the current posted speed limit?

b) What extent of the vehicles would be going under 50 mph?

c) What extent of the vehicles would be going somewhere in the range of 60 and 75 mph?

d) State specialists are conscious of the street not being intensely dealt, and that it can deal with a higher speed limit. Notwithstanding, they currently will execute a high expense for speeding over the new speed limit to guarantee some degree of generally speaking security. Paces will be checked by radar. Accept a similar Normal dispersion of vehicle speeds proceeds into the future as previously. What ought to be the new speed breaking point to such an extent that just about 10% of vehicles will speed over the new posted speed limit? Show the entirety of your thinking/work in responding to this.

answer for d

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a) Market research has shown that 60% of people who are acquainted with a specific item really purchase the item. An irregular example of 15 people were acquainted with the item.

I. Characterize the variable of interest for this situation.

ii. What likelihood dispersion do you think best portrays the circumstance? Why?

iii. Ascertain the likelihood that precisely 9 will purchase the item.

iv. On the off chance that 80 people are acquainted with the item, decide the quantity of individual who are relied upon to purchase the item.

b) It is realized that a normal of 5 trains go through Grand Central Terminal like clockwork. Discover the likelihood that

I. Precisely 4 trains will pass quickly

ii. under 2 trains will pass in 60 minutes