1 billion did not have access to cell phones. So roughly 1/6 of the population did not have access = 16.7%

Check your math = 5/6 had cell phones = 83.3%. It adds up.

7 0

4 years ago

Read 2 more answers

A certain company sends 50% of its overnight mail parcels via express mail service E1. Of these parcels, 1% arrive after the gua

Mice21 [21]

Answer:

A. 0.005 = 0.5% probability that the parcel went via El and was late

B. 0.027 = 2.7% probability that a randomly selected parcel arrived late.

C. 0.8148 = 81.48% probability that is was not sent via E1

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

$P(B|A) = \frac{P(A \cap B)}{P(A)}$

In which

P(B|A) is the probability of event B happening, given that A happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(A) is the probability of A happening.

A. If a record of an overnight mailing is randomly selected from the company's file, what is the probability that the parcel went via El and was late?

50% are chosen via E1, and of those, 1% were late. So

$p = 0.5*0.01 = 0.005$

0.005 = 0.5% probability that the parcel went via El and was late

B. What is the probability that a randomly selected parcel arrived late?

1% of 50%(via E1)

2% of 10%(via E2)

5% of 40%(via E3).

$p = 0.01*0.5 + 0.02*0.1 + 0.05*0.4 = 0.027$

0.027 = 2.7% probability that a randomly selected parcel arrived late.

C. If a randomly selected parcel has arrived on time, what is the probability that is was not sent via E1?

Conditional Probability.

Event A: Late

Event B: Not sent via E1

0.027 = 2.7% probability that a randomly selected parcel arrived late, which means that $P(A) = 0.027$

Late and not sent via E1:

2% of 10%(via E2)

5% of 40%(via E3).

$P(A \cap B) = 0.02*0.1 + 0.05*0.4 = 0.022$

Desired probability:

$P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.022}{0.027} = 0.8148$

0.8148 = 81.48% probability that is was not sent via E1

7 0

3 years ago

You want to buy a new case for your iPhone. The case is $37 and the tax is 6%. WHAT IS THE TOTAL?

aliina [53]

Answer:

$39.22

Step-by-step explanation:

The case costs $37. $37 is 100% of the price of the case.

The tax is 6% of the cost of the case. When you add 6% to 100% you get 106%.

The total price including tax is 106% of the price of the case.

106% of $37 = 1.06 * $37 = $39.22

Answer: $39.22

8 0

3 years ago