)determine the probability that a bit string of length 10 contains exactly 4 or 5 ones.

0.4512

Step-by-step explanation:

A bit string is sequence of bits (it only contains 0 and 1).

We assume that the  0 and 1 area equally likely to any place.

i.e. P(0)= P(1)=

The length of bits : n = 10

Let X = Number of getting ones.

Then ,

Binomial distribution formula : , where p= probability of getting success in each event and q= probability of getting failure in each event.

Here ,

Then ,The probability that a bit string of length 10 contains exactly 4 or 5 ones.

Hence, the  probability that a bit string of length 10 contains exactly 4 or 5 ones is 0.4512.