Answer:
115.3 hertz
Step-by-step explanation:
For either interval, the value of the sample mean is given by the average of the lower and upper bound of the confidence interval. Since both intervals were constructed by using the same sample, both values should be equal.
For the first interval:
For the second interval:
Answer:
a) There is a 45.53% probability that a person who walks by the store will enter the store.
b) There is a 41.07% probability that a person who walks into the store will buy something.
c) There is a 18.70% probability that a person who walks by the store will come in and buy something.
d) There is a 58.93% probability that a person who comes into the store will buy nothing.
Step-by-step explanation:
This a probability problem.
The probability formula is given by:
In which P is the probability, D is the number of desired outcomes and T is the number of total outcomes.
The problem states that:
123 people walked by the store.
56 people came into the store.
23 bought something in the store.
(a) Estimate the probability that a person who walks by the store will enter the store.
123 people walked by the store and 56 entered the store, so .
So
There is a 45.53% probability that a person who walks by the store will enter the store.
(b) Estimate the probability that a person who walks into the store will buy something.
56 people came into the store and 23 bought something, so .
So
There is a 41.07% probability that a person who walks into the store will buy something.
(c) Estimate the probability that a person who walks by the store will come in and buy something.
123 people walked by the store and 23 came in and bought something, so .
So
There is a 18.70% probability that a person who walks by the store will come in and buy something.
(d) Estimate the probability that a person who comes into the store will buy nothing.
Of the 56 people whom came into the store, 23 bought something. This means that 56-23 = 33 of them did not buy anything. So:
There is a 58.93% probability that a person who comes into the store will buy nothing.
Answer:
a. P(x>20)=0.19
b. P(x≥6)=0.72
c. P(x≤20)=0.81
d. A and C
Step-by-step explanation:
We know that:
1) the probability that a student makes fewer than 6 mistakes is 0.28
2) The probaiblity that a student makes between 6 to 20 mistakes is 0.53.
We will express the proabilibities in function of the information we have.
a. Probability that a student makes more than 20 mistakes.
b. Probability that the student make 6 or more mistakes
c. Probability that a student makes 20 mistakes at most
d. A and C, because A takes a event of more than 20 mistakes and C takes the event of 20 or less mistakes. Both events cover a probability of 1.