Question

Choose letters, one at a time and at random, notably without replacement, from the word STATISTICS,...

Choose letters, one at a time and at random, notably without replacement, from the word STATISTICS, until precisely two T’s have been drawn. Let X = the number of letters chosen.

Find the following:

Part A: E(X)

Part B: Var(X)

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Two coins are tossed. If two heads are thrown, letters are chosen from the word TWOFOLD....
Two coins are tossed. If two heads are thrown, letters are chosen from the word TWOFOLD. If one head is thrown, letters are chosen from the word ONEROUS. If no heads are thrown, letters are chosen from the word NOMAD. Whichever word is used, we draw letters one at a time, the drawing to be without replacement. until a vowel is obtained. What is the expected number of letters then drawn?
Two coins are tossed. If two heads are thrown, letters are chosen from the word TWOFOLD....
Two coins are tossed. If two heads are thrown, letters are chosen from the word TWOFOLD. If one head is thrown, letters are chosen from the word ONEROUS. If no heads are thrown, letters are chosen from the word NOMAD. Whichever word is used, we draw letters one at a time, without replacement, until a vowel is obtained. What is the expected number of letters then drawn? Answer is 59/30. Please show each steps clearly and specifically. Thank you.
You should answer the following questions as if one word is chosen at random from this...
You should answer the following questions as if one word is chosen at random from this sentence. Find the distribution of each random variable: (a) Let X be the length of the word. (b) Let Y be the number of distinct consonant letters per word (letters that are NOT vowels). (c) Let Z be the number of distinct letters per word
Choose one of the words in the following sentence uniformly at random and then choose one...
Choose one of the words in the following sentence uniformly at random and then choose one of the letters of that word, again uniformly at random: SOME DOGS ARE BROWN Let X denote the length of the chosen word. Determine the PMF of X.
We draw one card at a time without replacement from the top of a shuffled standard...
We draw one card at a time without replacement from the top of a shuffled standard deck of cards and stop when we draw a Jack of any suit. Let X be the number of cards we have drawn. What is P( X = 8 ) ? Round to two decimals.
Suppose that one word is to be selected at random from the sentence The girl put...
Suppose that one word is to be selected at random from the sentence The girl put on her lovely pink hat. If X denotes the number of letters in the word that is selected. What is the value of E(X)? What is the value of Var(X)?
Choose one of the words in the following sentence uniformly at random and then choose one...
Choose one of the words in the following sentence uniformly at random and then choose one of the letters of that word, again uniformly at random: SOME DOGS ARE BROWN Find the probability that the chosen letter is R.
1. a. three letters are selected from the word CAMERAMAN. i. Determine the number of selections...
1. a. three letters are selected from the word CAMERAMAN. i. Determine the number of selections if the three letters include one M and one A ii. Determine the number of selections if the three letters include at least one M b. Three students are chosen at random. Find the probability that one is studying English and two are girls.
k numbers are chosen at random from the set {1,2,...,N}, one after the other, without replacement....
k numbers are chosen at random from the set {1,2,...,N}, one after the other, without replacement. Find the probabilities of each of these events: 1. The set of numbers drawn is {1,2,...,k}. (Note that they need not be drawn in that exact order since we only care about the set.) 2. The numbers are chosen in an ascending order. 3. How do your answers to parts 1 and 2 change if the numbers are drawn one after the other, but...
From a standard deck of cards two cards are chosen without replacement one at a time....
From a standard deck of cards two cards are chosen without replacement one at a time. Find the probability of drawing a face card given that the first card was red.(EXPLAIN)