Mathematics: $200 at 6% twice a year. how much money will rachel have in her account in ten years

$200 at 6% twice a year. how much money will rachel

Ответ:

demienarravo

29.03.2023

Mathematics

If 8 vehicles approach the signal, the probability that 3 of them are stopped by the red light is:

0.25412184

Step-by-step explanation:

Here we need to use the binomial theorem.

i.e. the probability of k successes out of total n experiments is calculated by the formula:

$P(X=k)=n_C_kp^k(1-p)^{n-k}$

where p is the probability of successes.

Here we have p=Probability that signal is red.

i.e. p=15/50=3/10=0.3

Hence, 1-p=0.7

Also we have: n=8

and k=3

Hence,

$P(X=3)=8_C_3\times (0.3)^3(0.7)^{8-3}\\\\\\P(X=3)=\dfrac{8!}{3!\times (8-3)!}\times (0.3)^3\times (0.7)^5\\\\\\P(X=3)=\dfrac{8!}{3!\times 5!}\times 0.00453789\\\\\\P(X=3)=0.25412184$

Hence, the probability is:

0.25412184

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$200 at 6% twice a year. how much money will rachel have in her account in ten years

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