Question

What is the probability that the random variable will assume a value between [lower bound] and [upper bound] (to 4 decimals)?

Answer 1

The probability that the random variable will assume a value between the lower bound and upper bound is [insert the calculated probability value to four decimals].

Step-by-step explanation:

To determine the probability of the random variable falling within a specified range, we need to use the probability density function (PDF) or cumulative distribution function (CDF) of the random variable, depending on the type of distribution. The formula for calculating the probability is given by:

`\[ P(a \leq X \leq b) = \int_(a)^(b) f(x) \,dx \]`

where
`\( f(x) \)` is the probability density function.

In the explanation, it's essential to provide details about the specific distribution of the random variable and the corresponding formula used to calculate the probability. If the distribution is known (e.g., normal distribution), the standard normal distribution table or relevant software/tools can be utilized to find the probability.

Make sure to substitute the given lower and upper bounds into the appropriate formula and perform the necessary calculations to obtain the final probability value.

Remember to express the probability to four decimal places as requested.