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A binomial probability distribution has p = .20 and n = 100. If required, round your answers to four decimal places. Use “Continuity correction factor, if necessary”. Use Table 1 in Appendix B. a. What are the mean and standard deviation?
b. Is this situation one in which binomial
probabilities can be approximated by the normal probability
distribution? Explain. SelectBecause np≥5 and n(1-p)≥5 Because np≥5 or n(1-p)≥5 Item 4 c. What is the probability of exactly 21 successes? d. What is the probability of 16 to 24 successes? e. What is the probability of 14 or fewer successes? |
In: Statistics and Probability
Consider a deck of cards. Answer each question. Leave your probability as fraction.
(5 pts) When one card is selected, what is the probability that the card is a numbered card
(2,3,4,5,6,7,8,9,10)?
(5 pts) When one card is selected, what is the probability that the card is a numbered and heart.
(10 pts) When two cards are selected, what is the probability that they are both numbered cards?
(10 pts) When one card is selected, what is the probability that the card is a numbered card giventhat it’s a black card?
(10 pts) Are two events “numbered card” and “black card” independent events? Explain why/ why not.
please explain using calculator
In: Statistics and Probability
Can someone please help me with these questions with steps for
Statistics for the business course??
In: Statistics and Probability
Sample Spaces
1. Suppose S is a uniform sample space with N elements. If E is any possible come and ω is the probability function for S evaluate ω(e).
2. Define a probability function on the set A = {1, 2, 3} such that A is not a uniform sample space.
3. Given the sample space B = {a, b, c} and probability function ω on B. If ω(a) = 0.3, ω({a, b}) = 0.8 then find ω(b) and ω(c).
4. Suppose that only 30% of a birds hatchlings survive their first year. If a bird hatches 7 chicks, what is the probability exactly 3 will survive their first year? What is the probability at most 3 will survive?
In: Statistics and Probability
| Black | Red | Blue | Rows Total | |
| Matte Finish | 93 | 71 | 176 | 340 |
| Solid Color | 80 | 156 | 25 | 261 |
| Column Totals | 173 | 227 | 201 | 601 |
A) What is the probability that that the car is in Solid Color?
B) What is the probability that a car is picked with Blue color AND contains Solid Color?
C) What is the probability a car is Matte Finished, given it was picked from Black color cars?
D) What is the probability that the company produced Solid Cars or had Blue Color?
E) If two cars are picked without replacement, find the probability that the first is Red with Solid Color, and the second is Black with Matte Finish.
In: Statistics and Probability
Consider a regular deck of 52 playing cards.
(a) Suppose you draw one card randomly from the deck. What is the probability that that card is an ace or a king?
(b) Suppose you draw two cards randomly from the deck. What is the probability that both cards are red?
(c) Suppose you draw four cards randomly from the deck. What is the probability that exactly two cards are aces?
(d) Suppose you draw three cards randomly from the deck. What is the probability that at least one of them is a diamond?
(e) Suppose you draw four cards randomly from the deck. What is the probability that all of them are aces?
In: Statistics and Probability
Consider the following discrete probability
distribution.
| x | 15 | 22 | 34 | 40 |
| P(X = x) | 0.08 | 0.41 | 0.28 | 0.23 |
a. Is this a valid probability distribution?
Yes, because the probabilities add up to 1.
No, because the gaps between x values vary.
b. What is the probability that the random
variable X is less than 36? (Round your answer to
2 decimal places.)
c. What is the probability that the random
variable X is between 12 and 27? (Round your
answer to 2 decimal places.)
d. What is the probability that the random
variable X is greater than 20? (Round your answer
to 2 decimal places.)
In: Statistics and Probability
Among employees of a certain firm, 70% know C/C++, 60% know Java, and 90% know at least one of the two languages.
(a) What is the probability that a selected programmer knows both languages?
(b) What is the probability that a selected programmer knows C/C++ but not Java?
(c) What is the probability that a selected programmer knows only one of the two languages?
(d) If a programmer knows Java, what is the probability that he/she knows C/C++?
(e) If a programmer knows C/C++, what is the probability that he/she knows Java?
(f) Are the events “know Java” and “know C/C++” independent? Are then mutually exclusive? Explain.
In: Statistics and Probability
An engineer is going to redesign an ejection seat for an airplane. The seat was designed for pilots weighing between 120 lb and 161 lb. The new population of pilots has normally distributed weights with a mean of 129 lb and a standard deviation of 32.7 lb. a. If a pilot is randomly selected, find the probability that his weight is between 120 lb and 161lb. The probability is approximately _____ (Round to four decimal places as needed.) b. If 32 different pilots are randomly selected, find the probability that their mean weight is between 120 lb and 161 lb. The probability is approximately ____. (Round to four decimal places as needed.) c. When redesigning the ejection seat, which probability is more relevant?
In: Statistics and Probability
1. In a random sample of male and female New York street performers between the ages of 22-35 you know that:
The probability a man is a mime is 0.30.
the probability a woman is a spray paint artist is 0.165
The probability a man is a break dancer; given that he’s a mime is 0.250.
The probability a woman is a faux statue is 0.550.
The probability a woman is a faux statue, given that she’s a spray paint artist is .065.
Compute the following probabilities: (6 points: 2 points for each problem)
a.P(woman is a spray paint artist and a faux statue)
b.P (woman is a spray paint
artist or a faux statue)
c.P (man is a mime and a break dancer)
In: Statistics and Probability