a manager records the number of hours, x, each employee works on his or her shift and develops the…
a manager records the number of hours, x, each employee works on his or her shift and develops the probability distribution below. fifty people work for the manager. how many people work 4 hours per shift?\nprobability distribution\nhours worked: x|probability: p(x)\n3|0.1\n4|?\n5|0.14\n6|0.3\n7|0.36\n8|0.06\n0\n1\n2\n4
Answer
Explanation:
Step1: Find probability of working 4 hours
The sum of all probabilities in a probability - distribution is 1. Let the probability of working 4 hours be $p$. Then $0.1 + p+0.14 + 0.3+0.36 + 0.06=1$. $p=1-(0.1 + 0.14 + 0.3+0.36 + 0.06)=1 - 0.96 = 0.04$.
Step2: Calculate number of people working 4 hours
We know that the total number of employees is $n = 50$. The number of people working 4 hours is $n_4=n\times p$. $n_4=50\times0.04 = 2$.
Answer:
2