# Question: Let Y equal the sum of n 100 Bernoulli

Let Y equal the sum of n = 100 Bernoulli trials. That is, Y is b(100, p). For each of

(i) p = 0.1,

(ii) p = 0.5, and

(iii) p = 0.8,

(a) Draw the approximating normal pdfs, all on the same graph.

(b) Find P(| Y/100 − p | ≤ 0.015), approximately.

(i) p = 0.1,

(ii) p = 0.5, and

(iii) p = 0.8,

(a) Draw the approximating normal pdfs, all on the same graph.

(b) Find P(| Y/100 − p | ≤ 0.015), approximately.

## Answer to relevant Questions

Assume that the background noise X of a digital signal has a normal distribution with μ = 0 volts and σ = 0.5 volt. If we observe n = 100 independent measurements of this noise, what is the probability that at least 7 of ...If E(X) = 17 and E(X2) = 298, use Chebyshev’s inequality to determine (a) A lower bound for P(10 < X < 24). (b) An upper bound for P(|X − 17| ≥ 16). 6 .1 - 6 . An insurance company experienced the following mobile home losses in 10,000’s of dollars for 50 catastrophic events: (a) Using class boundaries 0.5, 5.5, 17.5, 38.5, 163.5, and 549.5, group these data into five ...An interior automotive supplier places several electrical wires in a harness. A pull test measures the force required to pull spliced wires apart. A customer requires that each wire that is spliced into the harness withstand ...Let independent random samples, each of size n, be taken from the k normal distributions with means μj = c + d[j − (k + 1)/2], j = 1, 2, . . . , k, respectively, and common variance σ2. Find the maximum likelihood ...Post your question