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QUESTION 1 Over many years, the University of New South Wales Library has found it checks out an average of 2417 books per day, with a standard deviation of 356 books per day. Consider that the number of books checked out per day is normally distributed. Find the probability (to 4 decimal places) that: 1. on a given day, the number of books checked out is between 2500 and 3000, 2.the average daily lending activity over a two month period (G.e. 60 days) is greater than 2400 books per day. QUESTION 2 The life of cell batteries is normally distributed with a mean of 69.1 hours and a standard deviation of 15.1 hours, 93% of the batteries will last more than how many hours? 2 decimal places)
TABLE A.5 Areas of the standard normal distribution 4-0,o-1 The entries in this table are the probabilities that a standard normal random variable is between 0 and z (the shaded area) 0040 0080 0199 0239 0636 .0675 1026 1406 1772 0319 0359 17 0557 0948 1331 1700 0398 0793 0987 1368 1736 19 2054 2088 2422 0832 0871 1255 1628 1985 2324 2642 2673 0910 1293 1443 554 1591 1950 2291 2611 1879 2257 2580 2881 2389 2704 27342764 2995 3264 3508 3729 2454 2517 2823 2549 2852 3133 3389 3621 3830 4015 3023 3289 3531 3051 3315 3554 3577 3770 3962 3078 3340 3365 3599 3810 3997 3186 1.0 3665 3869 4049 4207 4345 4463 4564 4649 3686 3888 3907 4066 4222 4357 4474 4573 3925 3944 1.2 1.3 1.4 3849 4032 4082 4099 4251 4265 4382 4394 4505 4599 4678 279 4292 4306 406 4418 4429 4535 4625 4699 4761 4332 4441 4545 4633 4706 4495 4591 4515 4608 4686 4693 4750 4756 4803 4846 4881 4909 554 4582 1.9 4726 4732 4738 4772 4778 4826 4864 4896 4783 4798 4838 4842 4878 4906 4808 4861 4893 4884 4887 4913 4890 4868 4898 4875 4904 4901
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Answer #1

Given 11 =24 구 2500-24 3.56- 2 < 3000-2417 356 =10 . 3535 2) n-6o days p (2400) X2400- Jn 12400-241 356 /J60 35乙 0.64 43x,-从 な) : O,64 From -table -22 , 284 429469:1 r x, 46,815

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