Answer:

And replacing we got:

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
Step-by-step explanation:
We define the random variable of interest as x " time it takes a barber to complete a haircuts" and we know that the distribution for X is given by:

And for this case we want to find the following probability:

We can find this probability using the complement rule and the cumulative distribution function given by:

Using this formula we got:

And replacing we got:

The probability that a randomly selected barber needs at least 14 minutes to complete the haircut is 0.5714
10 red marbles
Multiply the # of blue marbles by 2 (since there was TWICE as many red marbles), and you have your answer (above)
Answer:
srtand trv
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
two events need to happen: tutti frutti needs to be shown by first spinner and second spinner needs to show dish
probability of tutti frutti = 1/3
probability of dish = 1/2
probability of both events = 1/3 * 1 /2 = 1/6
Answer:
a) 12/25
b) 1/25
c) 12/25
Step-by-step explanation:
a) The first order can go anywhere, so it has 5 possibilities out of 5. The second order can go to any distributor except the one that got the first order, so it has 4 possibilities out of 5. The third order may go to any of the 3 remaining distributors, giving us 3 chances out of 5. So the probability is 5/5*4/5*3/5 = 12/25
b) The first order, again, can go anywhere, so it has 5 out of 5. The second and third order have to go to the same distributor, so, in each case, we have only 1 option available out of 5. The probability of this event is 5/5*1/5*1/5 = 1/25
c) This event is the complementary event of the union of the other 2 events the exercise has. If neither the same distributor got all 3 orders non all orders go to different distributors, then necessarily one distributor should got 2 orders and other 1. The probability of this event is, therefore 1-12/25-1/25 = 12/25.