Certain ammeters are produced under the specification that its gauge readings are normally distributed with mean 1 amp and variance 0.04 amp². If necessary, round your answer to four decimal places.

problem 3. Certain ainmeters are produced under the specification that its gauge readings are normally distributed with mean 1 amp and variance p.04 amp). If necessary. round your answer to four decimal places. (a) what is the probability that a gauge reading [mm the test is more than 1.15 amp? :l (In) what is the probability that a gauge reading from the test is between 1.03 amp 1.21 amp? :l (c) Find the math percentile (or 0.37m quentile) of gauge readings. \\:| problem 4. Suppose that 40% otappiications to a certain credit card are rejeded. or these, 50% are due to low credit scores, 30% are due to low disposable incomes, and 20% are due to having too much debt already If a company receives 15 credit card applications, what is the probability that exactly fnur or them are rejetted due to low credit same\" To answer this questinn, we need tn dene those events First R : the credit card application is rejected c : the applicant has low credit score N : the applicant has low disposable income 0 : the applicant has too much debt already We are given four probabilities. 0.4, 0.5, 0.3. and 0.2. Tmnslate those to a probability notation using R, c, N, and D. - ) = cm ' ) : 0-5 x ) = - ) = :12 We are interested in the probability that the application is rejected and it was due to having a low credit score, which is denoted pm in c). Find that probability. some: Now, after making some (hopefully reasonable) assumptions, we can define the binomial random variable v : the number of applications among 15 applications that are iegecteo' and it was due to hawg a low credit scone. Using the shorthand notation, it can be denoted as \"WE/E) Finally, Find the probability that exacy four ottliern are rejected due to low ciedit score. WWW