A counseling firm presented a bid for a huge examination project. The association's administration at first felt they had a 50-50 possibility of getting the undertaking. Notwithstanding, the organization to which the bid was submitted in this manner mentioned extra data on the bid. Past experience shows that for 75% of the fruitful offers and 40% of the ineffective offers the organization mentioned extra data.

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What is the earlier likelihood of the offered being effective (that is, preceding the solicitation for extra data)?

What is the restrictive likelihood of a solicitation for extra data given that the bid will eventually be fruitful?

Process the back likelihood that the bid will be fruitful given a solicitation for extra data.

The accompanying table sums up the quantity of understudies at Kiddies Headstart Preschool, classified by the understudies' sex and whether they have a place with the newborn child or baby segment

Baby Toddler Total

Male 12 28

Female 34 26

Complete 100

a) An understudy is chosen indiscriminately. Discover the likelihood that

I. the understudy is male and a baby

ii. the understudy is female or a baby

iii. the understudy is a baby, given that they are female.

b) Are the occasions 'Baby' and 'Female' Mutually Exclusive? Legitimize your reaction

c) Are the occasions 'Baby' and 'Female' Independent? Legitimize your reaction

Statistical surveying has shown that 60% of people who are acquainted with a specific item really purchase the item. An arbitrary 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. Figure the likelihood that precisely 9 will purchase the item.

iv. In the event that 80 people are acquainted with the item, decide the quantity of people who are required to purchase the item.

Assume you have two boxes An and B. Box A contains 7 dark marbles, 4 white marbles. Box B contains 7 white and 4 dark marbles. An irregular analysis is acted in two consecutive preliminaries by first drawing a marble haphazardly from confine An and putting to Box B. In the second preliminary after the primary preliminary, a marble is drawn arbitrarily from box B.

Answer the accompanying inquiries.

Are the two preliminaries free or ward? Offer motivations to help your response [2]

Draw a likelihood tree graph to show the execution of this irregular analysis. [2]

What is the likelihood of drawing a white marble from box B toward the finish of second preliminary? [2]

What is the likelihood of drawing a dark marble from box B toward the finish of second preliminary? [2]

Distinguish every one of the fundamentally unrelated occasions present in the given situation and confirm that they

are totally unrelated. [2]

In the event that we invert the situation, what is the likelihood of drawing a dark marble from

box A given that a white marble is drawn from box B. [2]