Mathematics, 12.08.2020 07:01 jasondesatnick

A baseball player has a batting average of 0.26. What is the probability that he has exactly 2 hits in his next 7 at bats

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Answer from: mostman077

The probability is P(2) = 0.426

Step-by-step explanation:

From the question we are told that

The probability of success is p = 0.26

The number of hits is n = 7

Generally this probability follows a binomial distribution given there can only be two outcome i.e the probability of success and the probability of failure

The probability of failure is q = 1- p

substituting values

q = 1 - 0.26

q = 0.74

Now the probability of exactly 2 hits in his next 7 at bats is mathematically evaluated as

$P(2) = \left n} \atop {}} \right. C_2 *p^{2} * q^{n- 2}$

substituting values

$P(2) = \left 7} \atop {}} \right. C_2 *p^{2} * q^{7- 2}$

Here $\left 7} \atop {}} \right. C_2$ means 7 combination 2 and using a calculator(reference calculator soup website) to compute, the value obtained is

$\left 7} \atop {}} \right. C_2 =21$

$P(2) = 21 *(0.26)^{2} * (0.74)^{5}$

P(2) = 0.426

Answer from: Quest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: