Answer:
All of the statements are true
Step-by-step explanation:
Given that :
Number of trials (n) = 100
Expected number of successes = 55
The number of successes of the 100 trials :
Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55
Using Normal approximation :
Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45
σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975
The probability distribution of x = B(n, p) = x = B(100, 0.55)
Using approximation ; N(p, σ) = N(55, 4.97)
Hence, All of the statements are true
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