Question

Asked Sep 23, 2019

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Step 1

**Identifying the distribution:**

Consider the event* X* that a people having left hand as a “success”.

There are 2 people. Each question can be considered as a trial. So, there are *n* = 2 trials.

Now, the people are randomly selected. Moreover, one people is independent of another. So, the 2 trials are independent of one another.

Here, the probability of getting a “Success” is 0.13.

The probability of a success is *p* = 0.13, which is constant for all trials.

Consider *X* as the number of successes (number of people having left-handed) out of the *n* = 2 trials.

Thus, *X* has a Binomial distribution with parameters *n* = 2 and *p* = 0.13. Since *X *is a discrete random variable, *X* has a Binomial pmf (probability mass function).

Step 2

The required probability is *P *(Both are left-handed). The required probability is obtained as shown below:

Step 3

Thus, the probability *P *(Both are ...

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