A game between two equally skilled players is ended before a winner is declared. Player A needs 3 more points to win, and player
1 answer:
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Answer:
The correct option is (A).
Step-by-step explanation:
Let <em>X</em> = number of orange milk chocolate M&M’s.
The proportion of orange milk chocolate M&M’s is, <em>p</em> = 0.20.
The number of candies in a small bag of milk chocolate M&M’s is, <em>n</em> = 55.
The event of an milk chocolate M&M being orange is independent of the other candies.
The random variable <em>X</em> follows a Binomial distribution with parameter <em>n</em> = 55 and <em>p</em> = 0.20.
The expected value of a Binomial random variable is:
Compute the expected number of orange milk chocolate M&M’s in a bag of 55 candies as follows:
It is provided that in a randomly selected bag of milk chocolate M&M's there were 14 orange ones, i.e. the proportion of orange milk chocolate M&M's in a random bag was 25.5%.
This proportion is not surprising.
This is because the average number of orange milk chocolate M&M’s in a bag of 55 candies is expected to be 11. So, if a bag has 14 orange milk chocolate M&M’s it is not unusual at all.
All unusual events have a very low probability, i.e. less than 0.05.
Compute the probability of P (X ≥ 14) as follows:
The probability of having 14 or more orange candies in a bag of milk chocolate M&M’s is 0.1968.
This probability is quite larger than 0.05.
Thus, the correct option is (A).
These are 3 questions and 3 answers.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.
1) Find
Answer: 4.
Explanation:
The expression means the limit as the function f(x) approaches 2 from the right.
Then, you have to use the function (the line) that comes from the right of 2 and gets as close as you want to x = 2.
That is the line that has the open circle around y = 4, and that is the limit searched.
2) Use the graph to determine the limit if it exists.
Answer:
To determine each limit you use the function from the side the value of x is being approached.
Note, that since the two limits are different it is said that the limit of the function as it approaches 2 does not exist.
3)
Answer: - 1
To find the limit when the function is approached to 3 from the left you follow the line that ends with the open circle at (3, -1).
Therefore, the limit is - 1.