We are given that the mean income of firms in the industry for a year is 95 million dollars with a standard deviation of 5 million dollars. Also, incomes for the industry are distributed normally.

<em>Let X = incomes for the industry</em>

So, X ~ N( $\mu=95,\sigma^{2}=5^{2}$ )

Now, the z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = mean income of firms in the industry = 95 million dollars

$\sigma$ = standard deviation = 5 million dollars

So, probability that a randomly selected firm will earn less than 100 million dollars is given by = P(X < 100 million dollars)

P(X < 100) = P( $\frac{X-\mu}{\sigma}$ < $\frac{100-95}{5}$ ) = P(Z < 1) = 0.8413 {using z table]

Therefore, probability that a randomly selected firm will earn less than 100 million dollars is 0.8413.

5 0

3 years ago

The real number square root of 16 belongs to which sets of numbers?

klasskru [66]

Answer: Square root of 16 is +4 or -4. Since -4 is not a natural number, the square root can be described as an integer.

Step-by-step explanation:

The square root of 16 is a rational number. The square root of 16 is 4, an integer

3 0

3 years ago

-(10(2)-2(8)+5(-1))

tiny-mole [99]

Answer:

Explanation:

−((10)(2)−(2)(8)+(5)(−1))

= −(20−(2)(8)+(5)(−1))

= −(20−16+(5)(−1))

= −(4+(5)(−1))

= −(4+−5)

= −(−1)

= 1

- Mordancy.

8 0

3 years ago

Read 2 more answers