Question: If five balls are thrown at random into n boxes, and all throws are independent, what is the probability that no box contains more than

If five balls are thrown at random into n boxes, and all throws are independent, what is the probability that no box contains more than two balls?

Step by Step Solution

★★★★★

3.38 Rating (164 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let A i be the event that box i has at least three balls Then Since there are onl... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

602-M-S-P (5224).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive more than one ball?

Q:

Suppose that a box contains seven red balls and three blue balls. If five balls are selected at random, without replacement, determine the p.f. of the number of red balls that will be obtained.

Q:

Suppose that n letters are put at random into n envelopes, as in the matching problem described in Sec. 1.10. Determine the variance of the number of letters that are placed in the correct envelopes.

Q:

2. Balls in Boxes Students in probability classes sometimes wonder by probabilists seem to have a peculiar fascination with balls being thrown at random into boxes or drawn at random from urns. It's...

Q:

2. Balls in Boxes Students in probability classes sometimes wonder by probabilists seem to have a peculiar fascination with balls being thrown at random into boxes or drawn at random from urns. It's...

Q:

(2) Students in probability classes sometimes wonder why probabilists seem to have a pe- culiar fascination with balls being thrown at random into boxes or drawn at random from urns. It's not just...

Q:

Help me answer all of the following activities and please do follow the page numberings thank you in advance Activity 3. Direction: Read and analyze the situation below. Answer the questions as...

Q:

CHAPTER 5 EXERCISES. 1. A balanced (fair) die is tossed once. Determine the probability of each of the following events: a.)Obtaining at least a 2 b.)Obtaining at most a 3 c.)Obtaining more than 4...

Q:

Note: questions 1-7 are attached on the picture , please respond back as soon as possible there's a time limit thank you . (15 questions) 8) A sports forecast says that there is a 40% probability of...

Q:

Suppose that Frida selects a ball by first picking one of two boxes at random and then selecting a ball from this box at random. The first box contains two white balls and three blue balls, and the...

Q:

a) How many license plates can be made using either two or three letters followed by either two or three digits and contain no letter or digit twice? b) The sixth permutation of the lexicographic...

Q:

In Figure 16.1, suppose that you initially find that path c (the total effect of X1 on Y) is not statistically significant and too small to be of any practical or clinical importance. Does it follow...

Q:

7. Declare an array of 120 uninitialized unsigned doubleword values.

Q:

What is a road train? If you had to classify them, would you say they are general freight carriers or specialized carriers?

Q:

The arrival times of workers at a factory first-aid room satisfy a Poisson process with an average of 1.8 per hour. (a) What is the value of the parameter A of the Poisson process? (b) What is the...

Q:

Engineers observe that about 90% of graphite samples fracture within five hours when subjected to a certain stress. (a) If the time to fracture is modeled with an exponential distribution, what would...

Q:

Consider a Poisson process with parameter A = 0.8. (a) What is the probability that the time between two adjacent events is longer than 1.5? (b) What is the probability that there will be at least...

Q:

The following data come from the 2018 ANES, pid14 and warmyou , both recoded into 3 categories. One question asked about party identification. The other asked about the importance of climate change....

Q:

Question 10 0.3 pts What is the profitability index of a project that costs $75,000 and returns $25,000 annually for five years if you use an opportunity cost of capital (i.e., discount rate) of 10%?...

Q:

1. A store has 5 years remaining on its lease in a mall. Rent is $1,900 per month, 60 payments remain, and the next payment is due in 1 month. The mall's owner plans to sell the property in a year...