Question

Can anyone please help me to solve these problem with explanation as possible.
Gender Less than 25 25 to less than 45 45 or over Total
Male 132 296 206 634
Female 118 152 315 585
Total 250 448 521 1219
1.) What is the probability if selecting a female employee and under 25 years old?
(0.1095) (0.4500) (0.5882)
2.) What is the probability of selecting a female or 25 to less than 45 years old?
(0.6526) (0.8310) (0.0896)
Please note: which of the following chooses are correct?

Answer 1

Answer on Question #84228 – Math – Statistics and Probability

Can anyone please help me to solve these problems with explanation as possible.

Question

1) What is the probability of selecting a female employee and under 25 years old? (0.1095) (0.4500) (0.5882)

Solution

$$p = \frac{n(\text{Female and under 25 years old})}{n(\text{Total})} = \frac{118}{1219} = 0.0968.$$

Answer: 0.0968.

Question

2) What is the probability of selecting a female or 25 to less than 45 years old? (0.6526) (0.8310) (0.0896)

Solution

$$p = \frac{n(\text{Female}) + n(25 \text{ to less than 45 years old}) - n(\text{Female and 25 to less than 45 years old})}{n(\text{Total})} = \frac{585 + 448 - 152}{1219} = 0.7227.$$

Answer: 0.7227.

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