Suppose Siri (an Apple digital assistant) is known to answer general facts correctly approximately 44.52% of the time. If a consumer asked Siri 181 questions about general facts, what is the probability that less than 45.1% of them would be correct

The probability that there will be less than 45.1% questions of general facts that Siri answers correctly is 0.5636.

Step-by-step explanation:

Let X = number of times Siri is known to answer general facts correctly.

The probability of random variable X is, P (X) = p = 0.4452.

The sample selected is of size, n = 181.

The random variable

As the sample size is large, i.e. n > 30 and the [probability of success is closer to 0.50, i.e.p is close to 0.50, then the binomial distribution can be approximated by the normal distribution.

Also if np ≥ 10 and n (1 - p) ≥ 10 then binomial distribution can be approximated by normal distribution.

Check the conditions as follows:

All the conditions are satisfied.

Then the sample proportion () follows a Normal distribution.

Mean =

Standard deviation =

Compute the probability that there will be less than 45.1% questions of general facts that Siri answers is correct as follows:

**Use the z-table for probability.

Thus, the probability that there will be less than 45.1% questions of general facts that Siri answers correctly is 0.5636.

y-1700=200(x+4)

step-by-step explanation:

200(x+4) is 200x + 800 she is saving 200 per week x is the weeks and the -1700 is. us that’s howmuch she already had

probably the last option

step-by-step explanation: