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Brian enjoys his pizza. So much so that he eats pizza every night. He likes both pepperoni and mushroom, and each night he chooses randomly and independently between these two options. Given that each night he picks the mushroom option with probability 0.35, find the probability that he eats between 2 and 4 (inclusive) mushroom pizzas this week (7 days)


At Covington High School, 20% of sixth-form mathematics students retake their C1 module. There are 15 students in Mr Smither’s class; find the probability that precisely four of them retake this module


How many workers have salary above $2675 in the distribution whose average salary is $2400 and standard deviation is $100 and the number of workers in the factory is 15000. If the salary of workers follows the normal law?


Last year a real estate agent earned an average of 40,250.00 month. suppose you recently selected a random sample of 25 real estate agents you determined how much each of them earns each month your Computations of their earning resulted to an average of 40,400.00 w/ a standard deviation of 225.00 using a 0.01 Level of significance can it be concluded that the average monthly earnings of estate agents has increased? Assume normality in the population.

 Test at the α = .01 significance level whether the mean of a random sample of size n = 16 is statistically significantly less than 10. If the distribution from which the sample was taken is normal, x¯ = 8.4 and σ2 = 10.24. What are the null and alternative hypotheses for this test?



Two dice are rolled at the same time. The first die shows a 2. Given that is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X?


A family has four children. If is a random variable that pertains to the number of female children, what are the possible values of X?


A random variable denotes the number of consumers in a sample of 300 who favor a particular product over all competitors. What are the possible values of ? 


Two dice are rolled at the same time. The first die shows a 2. Given that is a random variable that represents the sum of the results shown by the two dice, what are the possible values of X? 


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1.The reaction shows radioactive decay of excited technetium-99 into a lower-energy state of original nucleus. What kind of ray emission is indicated by green bolt sign/question mark? Write 2 properties of the emitted ray. https://lh3.googleusercontent.com/lpIyw8t21B8BV6YvCs9ZupmhcRoYyHaMRtdbBfLTgZNo5fL-qthMgT1I1V5USjGGbwC5_xFQu5KvUsLoqQek9gE7zIgk4ajNaL-VTyUgmgz9wR51HfYIDEEYlyR0jif3DA=w466

2.Name the structure with proper justification. Explain in 5 sentences.

https://lh4.googleusercontent.com/WPnImg-tO-JvE-QIUcgJZhMgnIbDiilzINJIp9RM99UX7G5UtsjzwgBdMWhPJlOQMzBX76n1V1orb-wYSMdqFS-fdT3KQ4Va7rnawsg5rAmsj19nZo0hQtCQe12B4eeHVA=w375

3.Name the structures. 

a) https://lh4.googleusercontent.com/vn9Pvx7BKw7CVDr8Z4FoPFM6wOplxCPJO2ChXL1J3v7ZcKm0HJm1fCSkOpGkIbwheI2SCPhBvW2sj2msk6B_LTK1FTG1IZ1UnRhKJuQH4KaDiJTzMmPrHnAkQuGxh7jEVQ=w225

b) https://lh3.googleusercontent.com/oikUllM960HEypYMsoenuQoFNLXBsj_Il4AJbxlO7vNSNnnW_BWbX7y0xbZmvzwgHWjG5zxGgEctDfBTF5NQYujBBhBySSdeaUJ_LZSJHm1gN9et46O8uqxDZLQvf6FiVg=w446


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