please solve 1-2-3 th questions. STATISTICS

Introduction to Probability, Statistics and Data H If g Gausslan and Binomial distributions Tutorial 5 ' elearning practice 1. A student takes a ten-question trueffalse exam a) Find the probability that the student gets exactly six of the questions right simply by guessing the answer on every question. b) Find the probability that the student will obtain a passing grade of 60% or greater simply by guessing. 2. Ifevery newborn baby has an equal chance of being a boy or a girl. nd the probability that among 1000 newborns there is a maximum of 490 girls. Calculate it also for 10 babies and 4 girls. 3. The lifetimes of the tread of a certain automobile tire are normally distributed with mean 31500 km and standard deviation 4,500 km. Find the probability that the tread life of a randomly selected tire will be between 30,000 and 40,000 km