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The number X of days in the summer months that a construction crew are cannot work because of the weather has the probability distribution
X P(x)
6 0.03
7 0.08
8 0.15
9 0.20
10 0.19
11 0.16
12. 0.10
13 0.07
14 0.02
A. Find the probability that no more than ten days will be lost next summer.
B. Find the probability that from 8 to 12 will lost next summer.
C. Find the probability that no days at all will be lost next summer.
D. Compute the mean and standard deviation of X. Interpret the mean in the context of the problem.
A car has been moving at a constant speed begins to slow down at a constant rate.it travels 25 m in the first second,20 m in the second second,16 m in the third second and so on.Show that the total distance covered,before it stops,does not exceed 125 metres
show that (A ∪ B)\C ⊆ A ∪ (B\C)
Let the sample space be S={1, 2, 3, 4, 5, 6, 7, 8, 9, 10}. Suppose the outcomes are equally likely. Compute the probability of the event E="an even number less than 7."
find the mean of the probability distribution of the random variable X and interpret its value, which can take only the values of 3,5, and 7, given that P (3) = ⁷/³⁰, P(5) = ⅓ and P(7) = ¹³/³⁰
a car salesperson as arrange a visit on three perspective customers in a week based on the past experiences helpers and laws that there is 10% chance of closing a sale on each visit determine the probability distribution of the number of sales and persons will make
Suppose three test kits are tested at random. Let N be the random variable for the number of non - defective test kits, construct the probability distribution P(N). What can you conclude about the effectivity of the COVID-19 Rapid Antibody Test kits based on your probability distribution? Explain briefly.
find the remaining parts of the quadrantal spherical triangles (c=90°) given the following, giveb parts b= 45°20 a=76°40
The number X of days in the summer months that a construction crew are cannot work because of the weather has the probability distribution
X P(x)
6 0.03
7 0.08
8 0.15
9 0.20
10 0.19
11 0.16
12. 0.10
13 0.07
14 0.02
A. Find the probability that no more than ten days will be lost next summer.
B. Find the probability that from 88 to 1212 will lost next summer.
C. Find the probability that no days at all will be lost next summer.
D. Compute the mean and standard deviation of X. Interpret the mean in the context of the problem.
Solve the following problem:
A government office has six telephone lines. For the past months, the probability distribution of the random variable Y which represents the number busy line per day in shown in the records below
Y P(Y)
0 0.052
1 0.054
2 0.232
3 0.240
4 0.174
5 0.105
6 0.043
1. What is the probability that exactly four telephone
lines are busy in a day?
2.What is the probability that, at least ,four telephone lines busy in a day?
3.What is the probability that at least two but at most
four telephone lines busy in a day?
4.What is the probability that at least one telephone
lines are busy in a day?
5. What is the expected number of busy telephone lines in a day? Explain the results
6. What is the standard deviation of the number of busy telephone lines in a day? Explain the results.
