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allsm [11]
3 years ago
12

If the probability that the Islanders will beat the Rangers in a game is 2/7, what is the probability that the Islanders will wi

n exactly zero out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
Mathematics
1 answer:
Helga [31]3 years ago
5 0

0.1328 is the probability that the Islanders will win exactly zero out of six games in a series against the Rangers.

<u>Step-by-step explanation:</u>

Given data is that probability the islanders will beat the rangers in a game is \frac{2}{7}.

So, probability that the islanders will not beat the rangers in the game is = 1-\frac{2}{7}=\frac{5}{7}

Let, x be the favorable outcome as,

x = no. of times islanders win the game

Probability of success (p) =  \frac{2}{7}

Probability of failure (q) = \frac{5}{7}

So, the probability of x would be,

                      x = n C_{r} \times(p)^{r} \times(q)^{n-r}

                     P(x=0) = 6 C_{0} \times\left(\frac{2}{7}\right)^{0} \times\left(\frac{5}{7}\right)^{6}

                      P(x=0) = 1 \times 1 \times \frac{(15625)}{117649} = 0.13281

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SECOND BOWLER: <span>10,6,8,8,5,5,6,8,9
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MAD = [|10 - 7.222| + |6 - 7.222| + |8 - 7.222| + |8 - 7.222| + |5 - 7.222| + |5 - 7.222| + |6 - 7.222| + |8 - 7.222| + |9 - 7.222|]/9
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The mean absolute deviation represents the average distance of each data to the mean. Thus, the lesser the value of the MAD is, the more consistent is the data to the mean. <em>B</em><em>etween the two, the first bowler is more consistent.</em>

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