Question 1 For some computers, the time period between charges of the battery is normally distributed with a mean of 50 hours and a standard deviation of 15 hours. Rohan has one of these computers and needs to know the probability that the time period will be between 50 and 70 hours. Add your answer Integer, decimal, or E notation allowed

ने की प्रायिकता क्या है? क थैले में 4 लाल और 4 काली गेंदें हैं और एक अन्य थैले में 2 लाल और 6 काली दोनों थैलों में से एक को यादृच्छया चुना जाता है और उसमें एक गों निकाली जाती है क. लाल है। इस बात की क्या प्रायिकता है कि गेंद पहले थैले से निकाली गां है?

Explain how the probability of two independent events occurring together is calculated.

The chance of winning a particular lottery game is 1 in 32000, How many tickets would I need to buy in order to improve the chance to 1 in 3200 ? If a machine produces 40 items in 5 minutes, how many liems would it produce in a day?

(Bayes' theorem) Example 3.11: Three bags contain 3 red, 7 black; 8 red, 2 black, and 4 re balls respectively. 1 of the bags is selected at random and a ball is draw the ball drawn is red, find the probability that it is drawn from the thirc Sol: Let \( E_{1}, E_{2}, E_{3} \), and A are the events defined as follows. \( E_{1}= \) First bag is chosen \( E_{2}= \) Second bag is chosen \( E_{3}= \) Third bag is chosen \( \mathrm{A}= \) Ball drawn is red Since there are three bags and one of the bags is chosen at random, so \( \mathrm{P}\left(E_{1}\right)=\mathrm{P}\left(E_{2}\right)=\mathrm{P}\left(E_{3}\right)=1 / 3 \) If \( E_{1} \) has already occurred, then first bag has been chosen which conta black balls. The probability of drawing 1 red ball from it is \( 3 / 10 \). So, \( \mathrm{P}( \) 37

23. What is the probability that a random arrangement of the letters of the word RESUME has an E on each end? A. 0.067 B. 0.076 C. 0.089 D. 0.095