For safety reasons, four different alarm systems were installed in the vault containing the safety deposit boxes at a beverly hills bank. each of the four systems detects theft with a probability of 0.99 independently of the others. the bank, obviously, is interested in the probability that when a theft occurs, at least one of the four systems will detect it. what is the probability that when a theft occurs, at least one of the four systems will detect it. this probability is equal to: (a) (.99)4(b) (.01)4(c) 1- (.99)4(d) 1- (.01)4(e) 1- (.01)*4

The probability that at least one of the four systems will detect it is .

Step-by-step explanation:

Consider the provided information.

Each of the four systems detects theft with a probability of 0.99 independently of the others.

Systems detects theft = p = 0.99

Systems fail to detects theft = q = 1-0.99=0.01

We need to find the probability that when a theft occurs, at least one of the four systems will detect it.

Pr (at least 1 systems detect theft) = 1 - Pr (none of the systems detect theft)

Pr (at least one systems detect theft =

Pr (at least one systems detect theft =

Hence, the probability that at least one of the four systems will detect it is .

you need to show us the graph.

step-by-step explanation:

d. millimeters per hour.

step-by-step explanation:

we are given that,

carlo used a rain gauge to measure the amount of water his lawn is receiving from the sprinklers.

since, according to the options, we see that,

water cannot be measured by 'miles per hour', 'meters per second' and 'grams per seconds'.

we get that, the water can be measured by 'millimeters per hour'.

hence, the appropriate rate for describing the amount of water is 'millimeters per hour'.