Answer:
0.8594
Step-by-step explanation:
Let a denote the event of forgetting to shut off machine and b be the event of being defective.
-A foreman forgets to shut off machine 55% of the time.
-If he forgets, 15% of molds are defective.
-If he does not, 3% of molds are defective.
#The probability that he forgot to shut off the machine is calculated as:

P(a and ~b)=0.55(1-0.15)=0.4675
P(~a and b) = (1-0.55)*0.03=0.0135
P(~a and ~b) = (1-0.55)*(1-0.03)=0.4365
#Conditional probability is defined as:

Hence, the probability that the foreman forgot to shut off the machine the previous night is 0.8594
Answer:
$5.29 per pair of socks
Step-by-step explanation:
26.45/5=5.29
Answer:
The probability you see a dolphin or a whale on both days is 0.64
Step-by-step explanation:
Consider the provided information.
It is given that the brochure claims an 80% chance of siting a dolphin or a whale.
The provided claims can be written as: 80% or 0.80
Let say first day you see a dolphin or a whale and same happen on the next day.
Thus, the probability is:
0.80 × 0.80 = 0.64
Probability of see them on both days is 0.64
Hence, the probability you see a dolphin or a whale on both days is 0.64
Centralangle/360 times area of circle=sector area
120/360 times pi8²=
(1/3)(64pi)=64pi/3 square inches
Answer:
b was right
Step-by-step explanation: