Calculation:

asked 2021-09-06

Flaws occur in telephone cable at the average rate of 4.4 flaws per km of cable.

what is the probability of 1 flaw in 100m of cable?

what is the probability of 1 flaw in 100m of cable?

asked 2021-05-14

The probability that event A occurs is 0,3, the probability that event B does not
occur is 0,4. What is the probability that events A and B occur simultaneously if
\(\displaystyle{P}{\left({A}∪{B}\right)}={0},{7}\)?

asked 2021-09-05

One store notes that the probability of some type of error in a telephone order is 0.2. A supervisor randomly selects telephone orders and carefully inspects each one.

Suppose the first four telephone orders contain no errors, what is the probability that the first error will be on the eighth order or later?

Suppose the first four telephone orders contain no errors, what is the probability that the first error will be on the eighth order or later?

asked 2021-09-11

One store notes that the probability of some type of error in a telephone order is 0.2. A supervisor randomly selects telephone orders and carefully inspects each one.

What is the probability that the supervisor will inspect between two and six (inclusive) telephone orders before finding an error?

What is the probability that the supervisor will inspect between two and six (inclusive) telephone orders before finding an error?

asked 2021-09-08

The Metropolis police station calls Superman an average of 3 times per hour
to ask for his help. The probability that the station calls Superman in a time interval is
dependent only on the length of the time interval and, furthermore, is independent of whether
or not the department called Superman on any previous time interval. Superman goes on a
date with Lois Lane and picks her up from her place at 7:00pm.

What is the probability that their date has been interrupted by 8:00pm?

What is the probability that their date has been interrupted by 8:00pm?

asked 2021-09-09

One store notes that the probability of some type of error in a telephone order is 0.2. A supervisor randomly selects telephone orders and carefully inspects each one.

What is the probability that the third telephone order selected will be the first to contain an error?

What is the probability that the third telephone order selected will be the first to contain an error?

asked 2021-11-17

At a doctor's office, patients arrive at a rate of ten per hour. With a probability of \(\displaystyle{\frac{{{1}}}{{{2}}}}\), each is either young or old. Assume you know that exactly ten young people arrived within an hour (say, 10 to 11am)

a) Compute the probability that exactly 10 old patients also entered.

b) Compute the probability that at least 20 patients have entered

a) Compute the probability that exactly 10 old patients also entered.

b) Compute the probability that at least 20 patients have entered