Question

the histograms each represent part of a binomial distribution. each distribution has the same probability of success, p, but different numbers of trials, n. identify the unusual values of x in each histogram.
(a) n = 4
(b) n = 8
(c) n = 12

identify the unusual values of x in histogram (a). choose the correct answer below.
a. x = 3
b. x = 0, x = 1, x = 2, and x = 8
c. x = 0
d. there are no unusual values of x in the histogram.

Explanation:

Identify the probability threshold for unusual values

$$ P(x) < 0.05 $$

Evaluate probabilities for histogram (a) where n = 4

$$
LATEXBLOCK0
$$

Determine the unusual values of x

$$ x = 0 $$

Answer:

• A. \(x = 3\)
• B. \(x = 0\), \(x = 1\), \(x = 2\), and \(x = 8\)
• C. \(x = 0\) (Correct answer)
• D. There are no unusual values of x in the histogram.