Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.
How do you calculate probability?
The probability of an event can be calculated by probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
a) 0.373 probability that a randomly selected carton has a weight greater than 8.13 ounces
b) 0.097 probability that mean weight of 16 randomly selected carton is greater than 8.13 ounces
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 8 ounces
Standard Deviation, σ = 0.4 ounce
We are given that the distribution of weights of ice cream cartons is a bell shaped distribution that is a normal distribution.
Formula:
a) P(weight greater than 8.13 ounces)P(x > 8.13)
Calculation the value from standard normal z table, we have,
b) P(weight of 16 randomly selected cartons is greater than 8.13 ounces)
P(x > 8.13)
Calculation the value from standard normal z table, we have
Learn more about probability here
https://brainly.com/question/24756209
#SPJ4
