Question

the accompanying table describes the random variable x, the numbers of adults in groups. parts (a) through (d) below. click the icon to view the table. a. find the probability of getting exactly 4 sleepwalkers among 5 adults. 0.026 (type an integer or a decimal. do not round.) b. find the probability of getting 4 or more sleepwalkers among 5 adults. (type an integer or a decimal. do not round.) probability distribution for x

x	p(x)
0	0.185
1	0.393
2	0.257
3	0.138
4	0.026
5	0.001

Explanation:

Step1: Identify relevant probabilities

We want to find $P(X\geq4)$. From the probability - distribution table, $P(X = 4)=0.026$ and $P(X = 5)=0.001$.

Step2: Use addition rule for mutually - exclusive events

Since the events $X = 4$ and $X = 5$ are mutually - exclusive, $P(X\geq4)=P(X = 4)+P(X = 5)$.
$P(X\geq4)=0.026 + 0.001$

Answer:

$0.027$