Answer:
The probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Step-by-step explanation:
Let <em>X</em> = time between calls made to Amazon's customer service.
The average time between calls is, <em>β</em> = 10 minutes.
The random variable <em>X</em> follows an Exponential distribution with parameter 
The probability distribution function of <em>X</em> is:

Compute the probability that the time between the next two calls is between 3 minutes and 7 minutes as follows:

Thus, the probability that the time between the next two calls is between 3 minutes and 7 minutes is 0.2442.
Answer:
15a^5b^15
Step-by-step explanation:
you multiply 5 and 3 to get 15, and then when you are multiplying exponents of variables, you actually add them, so a^2 times a^3 is actually a^5, and b^7 times b^8 is b^15. Because these are all multiplied together, you get the answer of 15a^5b^15.
Answer:
Z and B are independent events because P(Z I B) = P(Z)
Step-by-step explanation:
- If Z and B are independent, Z does not affect B and B does not affect Z.
- This means that, to know something about B does not help predicting Z, and to know something about B does not help predicting Z.
- Then, the probability P (Z/B) = P(Z) because B does not add any information about Z, therefore, the probability of Z only depends on itself.
Answer:
-13
Step-by-step explanation:
f(x)=2x-7
f(-3)=2(-3)-7=-6-7=-13
combine like terms first
15p-12=59
add 12 ro both sides
15p=71
p=4.733