Answer:

Probability that it will rain on two consecutive days = 0.162

Explanation:

Assuming that the events are independent events.

The probability that it will rain on exactly two consecutive days between Friday and Sunday involves two outcomes:

1) either it does not rain on Sunday, but it rains on Friday and Saturday, or

2) it does not rain on Friday, and then it rains on Saturday and Sunday

The probability that it will rain on Friday and Saturday, but not on Sunday is

P(Fri)*P(Sat)*P(not Sun)

P(Fri) = 0.9, P(Sat) = 0.9; P(not Sun) = 1 - 0.9 = 0.1

Therefore, the probability = 0.9 * 0.9 * 0.1 = 0.081

Also, the probability that it will rain on Saturday and Sunday, but not on Friday is;

P(Sat)*P(Sun)*P(not Fri)

P(Sat) = 0.9; P(Sun) = 0.9; P(not Fri) = 1 - 0.9 = 0.1

Therefore, the probability = 0.9*0.9*0.1 = 0.081

Therfore, the probability that it will rain on exactly two consecutive days between Friday and Sunday = 0.081 + 0.081 = 0.162

Answer:

0.0573

Explanation:

Given that:

Percentage of orders placed by new customers = 8%

Proportion of orders placed by new customers, p = 0.08

Using the geometric distribution :

P(n = n) = p * (1 - p)^n-1

Probability that first new customer places the fifth order of the day:

P(n = 5) = 0.08 * (1 - 0.08)^5-1

P(n = 5) = 0.08 * 0.92^4

P(n = 5) = 0.08 * 0.71639296

P(n =5) = 0.0573114368

P(n = 5) = 0.0573

A.) I guess because that's the only one you give me. :)

I gues <span>C. Make-and-take night because the family can take something together and the students can take it to school and tell their class about it. </span>