Twenty percent of all telephones of a certain type are submitted for service while under warranty. Of these, 70% can be repaired, whereas the other 30% must be replaced with new units. If a company purchases ten of these telephones, what is the probability that exactly two will end up being replaced under warranty?

The required probability is 0.09875

Step-by-step explanation:

From the given information;

the probability of repairing the telephones = 0.70

the probability of the replaced = 0.30

Suppose we consider  Mto denotes the telephone that is submitted for service while under warranty and must be replaced.

Then;

p = P(S) = P(replaced | submitted) P(submitted)

= 0.30 × 0.20

= 0.06

Now, the probability that exactly two will end up being replaced under warranty given that it assumes  a binomial distribution where n = 10 and p = 0.06

b. astronomers

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.