SOLUTION: One hundred numbers, uniformly distributed in the interval (0, 1), are generated by a computer. What is the probability that the largest number is at most 0.9?

Question 1139742: One hundred numbers, uniformly distributed in the interval (0, 1), are
generated by a computer. What is the probability that the largest number is at
most 0.9?
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
.

It means that each and every of the 100 generated numbers is less or equal to 0.9.


The probability for every single such a number to be less or equal to 0.9 is exactly 0.9, due to uniform distribution.


Hence, the probability under the question is   =  =  = 0.00265614%.    ANSWER

Solved.

RELATED QUESTIONS
A 3-character key code is randomly generated by a computer using the 26 letters of the... (answered by stanbon,ewatrrr)

A 3 character key code is randomly generated by a computer using the 26 letters of the... (answered by mathmate)

13. What is the probability that exactly eight 0 bits are generated when 10 bits are... (answered by solver91311)

The number of sick days an employee takes in one year is uniformly distributed on the... (answered by math_tutor2020)

A computer system requires that passwords contain at least one digit. What is the... (answered by ikleyn)

A random number generator generates numbers between 0 and 10. Let random variable X be... (answered by rothauserc)

Excel RAND Function. Most computer languages include a function that can be used to... (answered by onyulee)

1.A computerized switch board in the telephone exchange receives an average 4 calls per... (answered by sanjay_sp008)

The ages of staff computers are uniformly distributed from 6 months (.5 years) to 4.5... (answered by ewatrrr)