a) What are the mean and standard deviation of the volume shampoo?dialbllah arenodd b) What is the probability that the container is filled with I than the advertised target of 375 milliliters? =) What is the volume of shampoo that is exceeded by 95% the containers?
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
![lidador bns slden mobns ounino Exercises
141
(c) Probability that a visitor waits less than 15 minutes for a
show
(d) Probability that a visitor waits more than 20 minutes for a show
4-46. The volume of a shampoo filled into a container is uni-
formly distributed between 746 and 752 milliliters.dW O
JsdW (0)
(a) What are the mean and standard deviation of the volume of
shampoo?pdimalth
(b) What is the probability that the container is filled with less
than the advertised target of 375 milliliters?
(c) What is the volume of shampoo that is exceeded by 95% of
Wuted
the containers?
(d) Every milliliter of shampoo costs the producer $0.002. Any
shampoo more than 375 milliliters in the container is an
extra cost to the producer. What is the mean extra cost?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F001f6a2b-45f0-44db-96ba-8735199dcb49%2F1ab4ddb3-353b-49cd-8e45-4200860da12b%2F9h0gn_processed.jpeg&w=3840&q=75)
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