Answer: a) 0.0584
b) 0.2816
c) 0.1877
d) 0.1877117
Step-by-step explanation:
The binomial probability formula :-
, where P(x) is the probability of getting success in x trials, n is total number of trials and p is probability of getting success in each trial.
Given : X is a binomial random variable with parameters :-
n = 10 and p = 0.25




Answer:
2/3
Step-by-step explanation:
The sugar is divided by 3 which equals the 1 cup
so now divide 2 by 3 which is 2/3
Answer:
The probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.
Step-by-step explanation:
Let <em>X</em> = times required by drivers to fill their car's tank and pay.
The average time required by drivers is, <em>β</em> = 8 minutes.
The random variable <em>X</em> is Exponentially distributed with parameter,
.
The probability distribution function of exponential distribution is:

Compute the probability that a car driver can complete the transaction in less than 5 minutes as follows:

Thus, the probability that a car driver can complete the transaction in less than 5 minutes is 0.4647.