A man has $1000 to invest. He invests $4000 at 5% and $3500 at 4%. In order to have a yearly income of $500, he must invest the remainder at what rate ● 6%
● 6.2%
● 6.1%
● 6.3%
● 6.4%

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Ответ:

ShadowPlayer3325

23.06.2021

Mathematics

The probability of 4 successes,

P(X=4) =0.0660

Step-by-step explanation:

Step 1:-

Let X be a binomial random variable with n = 9 and p = 0.2

probability of successes p = 0.2

probability of failure q = 1-p = 1-0.2 = 0.8

By using binomial distribution

$P(X=r) = n_{Cr} p^{r} q^{n-r}$

Step 2:-

The probability of 4 successes, i.e.,

$P(X=4) = 9_{C4} (0.2)^{4} (0.8)^{9-4}$

by using $n_{Cr} = \frac{n!}{(n-r)!r!}$

$9_{C4} = \frac{9!}{(9-4)!4!} = \frac{9X8X7X6X5!}{5!4!}$ $= \frac{9X8X7X6}{4!} = \frac{9X8X7X6}{4X3X2X1} =126$

P(X=4) =126 X (0.0016)(0.32768)

P(X=4) =0.0660

conclusion:-

The probability of 4 successes, that is P(X=4) =0.0660

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A man has $1000 to invest. He invests $4000 at 5% and $3500 at 4%. In order to have a yearly income of $500, he must invest the remainder at what rate ● 6%● 6.2%● 6.1%● 6.3%● 6.4%