The weight corresponding to the 40th percentile is 182.41 pounds.
Answer:
a) P(X=2)= 0.29
b) P(X<2)= 0.59
c) P(X≤2)= 0.88
d) P(X>2)= 0.12
e) P(X=1 or X=4)= 0.24
f) P(1≤X≤4)= 0.59
Step-by-step explanation:
a) To find P(X=2), we calculate: P(X=2)= 1 - P(X=0) - P(X=1) - P(X=3) - P(X=4) which equals 1 - 0.41 - 0.18 - 0.06 - 0.06, resulting in 0.29
b) For P(X<2), we sum P(X=0) and P(X=1): 0.41 + 0.18 yields 0.59
c) To obtain P(X≤2), we add P(X=0), P(X=1), and P(X=2): 0.41 + 0.18 + 0.29 equals 0.88
d) To calculate P(X>2), we find P(X=3) + P(X=4): 0.06 + 0.06 gives us 0.12
e) For P(X=1 or X=4), we use the union of probabilities: P(X=1) + P(X=4) which is 0.18 + 0.06, resulting in 0.24
f) P(1≤X≤4) is found by adding P(X=1), P(X=2), P(X=3), and P(X=4): 0.18 + 0.29 + 0.06 + 0.06 results in 0.59
It’s challenging to demonstrate that on here unless I sketch a diagram for you... It’s important to recognize that 10 thousandths equates to 1 hundredth. If you draw a square measuring 100 by 100 centimeters on graph paper, it will include a thousand individual squares because 100 x 100 equals 1000, and if you shade 10 of those squares, that represents 10 thousandths.
