Question

Let the random variable X count the number of classes a full-time student enrolls in during a semester. The table gives the random variable's probability distribution

x | P(X=x) |

3 | 0.05 |

4 | 0.26 |

5 | 0.51 |

6 | 0.14 |

7 | 0.04 |

A) Compute the probability that a student will enroll in more than five classes during the semester

B) Compute the probability that a student will enroll in at most five classes during a semester

C) Compute the probability that a student will enroll in exactly four classes during a semester

D) Compute and interpret P(4 <equal to X <equal to 6)

E) Using the mean and standard deviation, describe the typical full-time student's enrollment for a semester

Answer #1

Let x be a random variable that represents the length of time it
takes a student to write a term paper for Dr. Adam’s Sociology
class. After interviewing many student, it was found that x has an
approximately normal distribution with mean u=6.8 hours and
standard deviation =2.1 hours.
Convert each of the following x intervals to standardized z
intervals
x < 7.5
5 < x < 8
Using the above information, convert each of the following z
intervals to...

Let 'x' be a random variable that represents the length of time
it takes a student to write a term paper for Tonys class. After
interviewing students, it was found that 'x' has an approximately
normal distribution with a mean of µ = 7.3 hours and standard
deviation of ơ = 0.8 hours.
For parts a, b, c, Convert each of the following x
intervals to standardized z intervals.
a.) x < 7.5
z <
b.) x > 9.3
z...

In the following probability distribution, the random variable
x represents the number of activities a parent of a
6th to 8th-grade student is involved in. Complete parts (a)
through (f) below.
x
0
1
2
3
4
P(x)
0.395
0.075
0.199
0.195
0.136
(a) Verify that this is a discrete probability
distribution.
This is a discrete probability distribution because the sum of
the probabilities is ___and each probability is ___ (Less than or
equal to 1; Greater than or equal...

An accounting office has six incoming telephone lines. Let the
random variable X = the number of busy lines. The probability
distribution function for X is given below.
x
0
1
2
3
4
5
6
f(x)
0.052
0.154
0.232
0.240
?
0.105
0.043
(a). Find the Probability that there are 4 busy lines?
My Ans: It should be 0.826, (1-sum of others).
I'm struggling to answer the rest of them.
(b). Find the expected number of busy lines when...

d.)Let X be a discrete random variable equal to the number of
girls you have out of 6 children.
What is P(X=2 | X=1)
P(X=2∣X=1)?
a.) Assume that a website allows only lower case letters for
password required to have a length of size 5, but does not allow
the following choices for the password: (1) all 5 characters are
identical and (2) any sequence ending with "gk". If a 5 letter
sequence is randomly selected, what is the probability...

Let x be a random variable that represents hemoglobin
count (HC) in grams per 100 milliliters of whole blood. Then
x has a distribution that is approximately normal, with
population mean of about 14 for healthy adult women. Suppose that a
female patient has taken 10 laboratory blood tests during the past
year. The HC data sent to the patient's doctor are as follows.
14
17
17
18
15
12
14
18
15
12
(i) Use a calculator with sample...

Let x be a random variable that represents hemoglobin
count (HC) in grams per 100 milliliters of whole blood. Then
x has a distribution that is approximately normal, with
population mean of about 14 for healthy adult women. Suppose that a
female patient has taken 10 laboratory blood tests during the past
year. The HC data sent to the patient's doctor are as follows.
16
19
17
20
13
11
13
18
17
11
(i) Use a calculator with sample...

Let x be a random variable that represents hemoglobin
count (HC) in grams per 100 milliliters of whole blood. Then
x has a distribution that is approximately normal, with
population mean of about 14 for healthy adult women. Suppose that a
female patient has taken 10 laboratory blood tests during the past
year. The HC data sent to the patient's doctor are as follows.
14
19
15
20
15
12
15
18
16
12
(i) Use a calculator with sample...

1.A fair die is rolled once, and the number score is noted.
Let the random variable X be twice this score. Define the variable
Y to be zero if an odd number appears and X otherwise. By finding
the probability mass function in each case, find the expectation of
the following random variables:
Please answer to 3 decimal places.
Part a)X
Part b)Y
Part c)X+Y
Part d)XY
——-
2.To examine the effectiveness of its four annual advertising
promotions, a mail...

2) Airline accidents: According to the U.S. National
Transportation Safety Board, the number of airline accidents by
year from 1983 to 2006 were 23, 16, 21, 24, 34, 30, 28, 24, 26, 18,
23, 23, 36, 37, 49, 50, 51, 56, 46, 41, 54, 30, 40, and 31.
a. For the sample data, compute the mean and its standard error
(from the standard deviation), and the median.
b. Using R, compute bootstrap estimates of the mean, median and
25% trimmed...

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