# Upper level probability Answers

Upper level probability

### $$8!/(5!*3!)$$

Upper level probability

### Random variables are represented by ___-case letters, while particular values of random variables are represented by ___-case letters.

Upper level probability

### The area between z=0and z= 1.1 under the standard nomad curve is ?

Upper level probability

### Find the probability density function of $$Y=e^{X}$$, when X is normally distributed with parameters $$\mu \text{and} \sigma^{2}$$. The random variable Y is said to have a lognormal distribution (since log Y has a normal distribution) with parameters $$\mu \text{and} \sigma^{2}$$

Upper level probability

### A card is drawn at random from a well-shuffled deck of 52 cards. What is the probability of drawing a face card or a 5?

Upper level probability

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### A shipment of 12 microwave ovens contains three defective units. A vending company has ordered four of these units, and because all are packaged identically, the selection will be random. What is the probability that: a) All four units are good? b) Exactly two units are good? c) At least two units are good?

Upper level probability

### There are 11 players in team A. It is known that four of them (call them high scoring) score a penalty with probability 0.8 each and the other seven (low-scoring) with probability 0.5 each. There is a penalty shoot-out with another team, team B (of 11 players), in which every player from each team takes exactly one shot, so that 22 shots are to be taken. Every player in team B scores with probability 0.64. The team that scores the most goals wins. Which team is expected to win? Justify your answer

Upper level probability

### What is the probability of tossing at least 1 tail if you toss 3 coins at once?

Upper level probability