Using the binomial distribution, answer the following question. In the Southwest, 5% of all cell phone calls are dropped. What is the probability that out of six randomly selected called, exactly one will be dropped?

23.21% probability that out of six randomly selected called, exactly one will be dropped.

Step-by-step explanation:

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

5% of all cell phone calls are dropped.

This means that

What is the probability that out of six randomly selected called, exactly one will be dropped?

This is when . So

23.21% probability that out of six randomly selected called, exactly one will be dropped.

by definition, an arc subtended by a central angle of some given measure has the same measure. so .

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.