Please help with explaition

Mathematics

1 answer:

VMariaS [17]2 years ago

4 0

Answer:

1/20

Step-by-step explanation:

The probability of any of the friends sitting on any of the seats is equal.

So the probability of Hamad sitting on the first seat = 1/5

As Hamad is sat on the first seat, there are now 4 available seats, so the probability of Riyadh sitting on the second seat = 1/4

Therefore, probability of Hamad sitting on the first seat AND Riyadh sitting on the second seat = 1/5 x 1/4 = 1/20

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klasskru [66]

Answer:

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Step-by-step explanation:

As we don't know the standard deviation of the population, we can estimate the standard error of the mean from the standard deviation of the sample as:

$\sigma_{\bar{x}}\approx\frac{s}{\sqrt{n}}$

The sample is [30mins, 40 mins, 60 mins, 80 mins, 20 mins, 85 mins]. The size of the sample is n=6.

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The standard deviation of the sample is calculated as:

$s=\sqrt{\frac{1}{n-1}\sum (x_i-\bar x)^2} \\\\ s=\sqrt{\frac{1}{5}\cdot ((30-52.5)^2+(40-52.5)^2+(60-52.5)^2+(80-52.5)^2+(20-52.5)^2+(85-52.5)^2}\\\\s=\sqrt{\frac{1}{5} *3587.5}=\sqrt{717.5}=26.8$