Learning task 3<br> What polygon is being described in the picture

Anytime the probability of an event occurs more than once in a particular order (one time after another in the same instance), then the probability is multiplied together. If the probability of him making the shot is 1/7, then the probability of him missing it is 6/7. This is because this is the only other possible outcomes and all outcome probabilities must add to 1 (1-1/7 - 6/7).

So, if he misses it three times in a row then the probability is:

6/7 (probability miss this first time) x 6/7 (probability miss second time) x 6/7 (probability miss 3rd time).

6/7 x 6/7 x 6/7 = 216/343

or 0.6297 (4dp)

Hope this helped!

5 0

4 years ago

The distribution of heights of adult males has a mean of 69 inches and a standard deviation of 4 inches. A random sample of 36 a

Licemer1 [7]

Answer:

$P(\bar X >70)= P(Z>\frac{70-69}{\frac{4}{\sqrt{36}}})= P(Z>1.5)$

And for this case we can use the complement rule and the normal standard distribution of excel and we got:

$P(Z>1.5)=1-P(Z,1.5) = 1-0.933=0.0668$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(69,4)$