Consider the drawing of a probability tree for this data. What are the prior probabilities that would be on the tree and what would they be for?

          WOMEN                      EYE COLOR               CHILDREN

                18                            Brown                                No

                22                            Brown                               Yes

                09                            Blue                                   No

                21                            Blue                                  Yes

                12                            Green                                No

                18                            Green                               Yes

            MEN                            EYE COLOR               CHILDREN

                24                            Brown                                No

                16                            Brown                               Yes

                12                            Blue                                   No

                18                            Blue                                  Yes

                10                            Green                                No

                20                            Green                               Yes

given an exponentially distributed population with a mean of 385.06 what is the probability of the average of 138 randomly selected items being less than 53018.8

Suppose that the probability that a passenger will miss a flight is 0.0925. Airlines do not like flights with empty​ seats, but it is also not desirable to have overbooked flights because passengers must be​ "bumped" from the flight. Suppose that an airplane has a seating capacity of 53 passengers. Suppose that 57 tickets are sold. What is the probability that a passenger will have to be​ "bumped"?

​(a) Suppose that 57 tickets are sold. What is the probability that a passenger will have to be​ "bumped"? ​

(b). For a plane with seating capacity of 51 ​passengers, how many tickets may be sold to keep the probability of a passenger being​ "bumped" below 55%?

For part a using binomcdf (59,0.9075,53)= .4676 1-.4676=0.5324. However when doing it by hand ₅₉nCr₅₃(0.9075)⁵³ (1-0.9075)⁶ =.1646 . Can someone tell me what I am doing wrong when using the formula to solve the question? Thank you  

For part b not sure how to do it

1. Boltzmann statistics predict the probability that atoms or particles will be at the level of
The energy E (s) is equal to P (s) where
P (s) = e ^ −E (s) ⁄kT / Z
Where Z is the Partition function and Z = ∑ e ^ −E (s) ⁄kT

1.1 One hypothetical particle has 3 energy levels, -0.05 eV, 0 eV and 0.05 eV. Write a graph between Z and kT and
Describe the graph (Recommended: Use programs like Mathematica)
1.2 If the particle is in balance with the environment (Reservoir) at 300 K, find the probability that the particle will be at the energy level
all three
1.3 If the particle is in balance with the environment (Reservoir) at 1000 K, find the probability that the particle will be at the energy level
All three compare with the result in item 1.2.

Five cards are dealt with. What is the probability that the 4th one is a king? My answer was 4/52. Then my instructor gave the following comments: I agree with your answer for the "with replacement" scenario. I do however interpret the question where someone is dealing out cards to be a scenario without replacement. Could you also include the without replacement probability? What I meant was an enumeration of the probability that the 4th card dealt is a king, with the various possibilities that a king or more has been dealt in the first three cards. So for example, No king dealt in first 3 cards, followed by king in 4th card: (48/52)*(47/51)*(46/50)*(4/49) Exactly 1 king dealt in first 3 cards, followed by king in 4th card (4/52)*(48/51)*(47/50)*(3/49) * 3, where the 3 represents the 3 ways a sole king can be drawn in the first three cards Then logic would follow for exactly 2 kings in the first 3 (followed by king in 4th card), and then all kings in the first 3 (followed by king in the 4th card). Then logic would follow for exactly 2 kings in the first 3 (followed by king in 4th card), and then all kings in the first 3 (followed by king in the 4th card). Kindly help me understand this. Thanks!

If you flip a fair coin, the probability that the result is heads will be 0.50. A given coin is tested for fairness using a hypothesis test of H0:p=0.50 versus HA:p≠0.50. The given coin is flipped 180 times, and comes up heads 110 times. Assume this can be treated as a Simple Random Sample. The test statistic for this sample z and the p value

I am interested in the effect of majoring in economics on the probability that a Binghamton student will work in the financial sector during the first year after college. Define a treatment variable and an outcome variable. What do you expect is the sign of the difference in means, positive or negative? What do you think is the sign of the selection bias? Explain.

Suppose that the probability that a fluorescent light will have a useful life of at least 500 hours is 0.85. Suppose you have 10 of these fluorescent lights in your workshop. Find the following probabilities:

(a) The probability that 8 of these will have a useful life of at least 500 hours.

(b) The probability that at most 2 of them will not have a useful life of 500 hours.

3- For this section, we will study the probability distribution for Italy. It is assumed that the confirmed cases show a normal distribution behavior. Find the mean and the standard deviation.

Consider the period between Feb, 22 and June, 22. This period is considered as the lock down period in Italy. The mean and the standard deviation gives an idea about the period to spread the virus and time required to diminish the strength of the COVID-19
Please I want this question to be answer completely.

There will be a midterm in mat201. The topics are

• Midterm topics:
  • Conditional probability and Bayes' Theorem
  • Random variables and probability distributions
  • Linear functions of random variables
  • Binomial distribution
  • Poisson distribution

Please can you prepare questions about these topics. Because I am not ready and I do not know anything. Please:DD