At the Fidelity Credit Union, a mean of 7.1 customers arrive hourly at the drive-through window. What is the probability that, in any hour, less than 2 customers will arrive

The probability that, in any hour, less than 2 customers will arrive is 0.0067.

Step-by-step explanation:

The random variable X can be defined as the number of customers arriving hourly at the drive-through window at the Fidelity Credit Union.

The random variable X describes a finite number of occurrences of an event in a fixed time interval.

The random variable X follows a Poisson distribution with parameter λ = 7.1.

The probability mass function of X is:

Compute the probability of less than 2 customers arriving as follows:

Thus, the probability that, in any hour, less than 2 customers will arrive is 0.0067.

250

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752