Please solve aii of these 3 questions. and please show the steps and give reason

Question

Please solve aii of these 3 questions. and please show the steps and give reasons for the true or false question . Thank u very much!

Question 1 (1 mark) The probability distribution of your winning at a casino's card game is shown below. P(x) 0.1 0.4 0.2 $2 $5 0.3 What is the chance you win more than $1 if you play just once? A 0.4 B 0.1 C 0.5 D 0.9 Question 2 (1 mark) A binomial experiment is a sequence of n identical trials such that each trial produces one of two outcomes that are conventionally called success and failure and is independent of any other trial so that the probability of success or failure is constant from trial to trial. Is this statement true or false? A False B True Question 3 (1 mark) Suppose Z has a standard normal distribution with a mean of 0 and standard deviation of 1. So 85% of the possible Z values are smaller than? The answer has a tolerance of 0.0005. Enter your response below:

Explanation / Answer

Question 1)

(x>1)=P(x) for $2 and $3=0.2+0.3

Question 2)

B. True

Question 3)

Looking at the z-table, we get the value as 1.04

Hence, 85% of the possible z-values are smaller than 1.04

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