13) suppose that computer literacy among people ages 40 and older is being studied and that the accompanying…

13) suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. is it unusual to find four computer literates among four randomly selected people? a) yes \n0 1 2 3 4\np(x) 0.16 0.25 0.36 0.15 0.08\nb) no

13) suppose that computer literacy among people ages 40 and older is being studied and that the accompanying tables describes the probability distribution for four randomly selected people, where x is the number that are computer literate. is it unusual to find four computer literates among four randomly selected people? a) yes \n0 1 2 3 4\np(x) 0.16 0.25 0.36 0.15 0.08\nb) no

Answer

Explanation:

Step1: Recall the criteria for a probability distribution

A probability distribution must satisfy two conditions: 1. (0\leq P(x)\leq1) for all (x), and 2. (\sum_{x}P(x) = 1).

Step2: Check the sum of probabilities

(\sum_{x = 0}^{4}P(x)=0.16 + 0.25+0.36 + 0.15+0.08) [ \begin{align*} &0.16+0.25 + 0.36+0.15+0.08\ =&(0.16 + 0.25)+0.36+(0.15 + 0.08)\ =&0.41+0.36 + 0.23\ =&0.77+0.23\ =&1 \end{align*} ] Also, (0\leq0.16\leq1), (0\leq0.25\leq1), (0\leq0.36\leq1), (0\leq0.15\leq1) and (0\leq0.08\leq1). So it is a valid probability - distribution.

Step3: Check for unusualness

An event is considered unusual if its probability is less than or equal to (0.05). The probability of having four computer - literates (P(x = 4)=0.08>0.05). So it is not unusual.

Answer:

B. No