Question

Pleeaaaase hellllpppp asap

Answer 1

Answer:

Option B

Step-by-step explanation:

the mean is the sum of each value of P(x) multiply for x

Mean= 23x0.16 + 25x0.09 + (26x0.18) + (31x0.12)+ (34x0.24) + (38x0.21)

Mean= 30.47

Answer 2

Answer:

B. 30.47

Step-by-step explanation:

The mean discrete random variable tells us the weighted average of the possible values given of a random variable. It shows the expected average outcome of observations. It's like getting the weighted mean. The expected value of X can be computed using the formula:

$\mu_{x}=x_1p_1+x_2p_2+x_3p_3...+x_kp_k\\\\=\Sigma x_ip_i$

Using the data given in your problem, just pair up the x and P(x) accordingly and get the sum.

$\mu_{x}=x_1p_1+x_2p_2+x_3p_3+x_4p_4+x_5p_5+x_6p_6\\\\\mu_{x}=(23\times 0.16) + (25\times 0.09) + (26\times 0.18) + (31\times 0.12) + (34\times 0.24) + (38\times 0.21)\\\\\mu_{x} = 30.47$