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Unformatted text preview: MA206  Probability 81. Statistics
Lesson 25: Applications 1. Assume a phone number consists of 10 digits, and the ﬁrst and fourth digit cannot be 0. a. How many telephone numbers are possible? (2* 10*Iﬁﬁ/Uﬁuﬁi a’i’io’” ray/0 _: f/oa we not) b. How many telephone numbers are possible within the 617 area code? (EL/“L/fﬁifloﬁufiwrw ff” : ‘? (3)00 600 2. A TV news department decided to interview four celebrities for the evening news. If the news department employs six reporters, how many different ways are there to assign the
interviewers? (Assume no reporter will interview more than One celebrity.) 9'5 x .. “'16 0' wt,» 6"!
63"!“ 2" (deaf) "‘ 3” 3. The Pennsylvania Megabucks lottery consists of selecting six numbers from the numbers
1, 2,3, ...42. Order does not matter. a. If you play the game once, what is the probability that your six mnnber are the same as the winning six numbers? g I /
“m " ‘16:? :5W’ 2 '/ fzorm : par/5.07
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Silk —~ (51’) —6/@2‘6H ,. $.3qu 7V6 (6/ 3 b. What is the probability that you will match exactly four of i‘ i winning numbers?
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q a Harare q (423‘) ' storm 1'. 00W 7 4. Assume that when a certain hunter shoots at a pheasant, the probability of hitting it is .6.
Find the probability that the hunter a. Will hit exactly four of the next ﬁve pheasants at which he shoots at. 27:5” P; :6” bar}: 67) [of ("NM“)
Mics) :. b (sis.2571, b. Will hit at least four of the next ﬁve. P/Xi‘!) :3 {9(a) {bier}; 5370 0. Will hit at least'one of the next ﬁve. pgxaz); be) ago} 73543) +4fﬁil+b6fiﬁﬁ7WY 6. What if somebody offered to bet that at least two people in your math class had the same
birthday? Would you take the bet? How large must a class be to make the probability of
ﬁnding two people with the some birthday at least 50%? .2)? «2/an
/_ gas—l 10km»: Md (1965“: 277 ($35?” ...
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