In the United States, males between the ages of 40 and 49 eat on average 103.1 g of fat every day with a standard deviation of 4.32 g. Assume that the amount of fat a person eats is normally distributed. Round the probabilities to four decimal places. It is possible with rounding for a probability to be 0.0000. a) State the random variable. rv X = the fat consumption of a randomly selected male in the US between the ages of 40 and 49 b) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 96.74 g or grams or more. 0.9295 c) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption of 101.64 g or grams or less. d) Find the probability that a randomly selected male in the US between the ages of 40 and 49 has a fat consumption between 96.74 and 101.64 g or grams. e) Find the probability that randomly selected male in the US between the ages of 40 and 49 has a fat consumption that is at least 118.22 g or grams. 0.0002 f) Is a fat consumption of 118.22 g or grams unusually high for a randomly selected male in the US between the ages of 40 and 49? Why or why not? [yes, since the probability of having a value of fat consumption at least that high is less than or equal to 0.05 g) What fat consumption do 46% of all males in the US between the ages of 40 and 49 have less than? Round your answer to two decimal places in the first box. Put the correct units in the second box.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
please help me with only parts c, d, and g !!
![**Understanding Fat Consumption Among Males Aged 40-49 in the U.S.**
This exercise explores the fat consumption of U.S. males aged 40 to 49, assuming a normal distribution with an average consumption of 103.1 grams per day and a standard deviation of 4.32 grams. The probabilities are rounded to four decimal places.
**a) Define the Random Variable:**
- Random Variable (rv X) = the fat consumption of a randomly selected male aged 40 to 49.
**b) Probability of Consuming 96.74g or More:**
- Probability: 0.9295
**c) Probability of Consuming 101.64g or Less:**
- [Blank space for calculation result]
**d) Probability of Consuming Between 96.74g and 101.64g:**
- [Blank space for calculation result]
**e) Probability of Consuming At Least 118.22g:**
- Probability: 0.0002
**f) Is Consuming 118.22g Unusually High?**
- Yes, because the probability of consuming at least this amount is less than or equal to 0.05.
**g) Fat Consumption for 46% of Males:**
- 46% of males consume less than: 9 grams
This structured approach helps in understanding the statistical distribution of fat consumption and identifying unusually high consumption levels.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc9dab0f3-a260-479e-949a-3a4bbd3d0da1%2F05edb0bc-5217-40b7-9e81-5fe0d4d1bfae%2F8joneb6_processed.jpeg&w=3840&q=75)
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