Sick days

In Canada, there are typically 261 working days per year. If there is a 4.9% chance that an employee takes a sick day. ..
what is the probability an employee will use 17 OR MORE sick days in a year?

Correct answer:

p =  0.0929

Step-by-step explanation:

q=4.9%=4.9100=0.049 n=261  C0(261)=(2610)=261!0!(2610)!=11=1  p0=(2610) q0 (1q)n0=1 0.0490 (10.049)26102.0189106 C1(261)=(2611)=261!1!(2611)!=2611=261  p1=(2611) q1 (1q)n1=261 0.0491 (10.049)26112.715105 C2(261)=(2612)=261!2!(2612)!=26126021=33930  p2=(2612) q2 (1q)n2=33930 0.0492 (10.049)26120.0002 C3(261)=(2613)=261!3!(2613)!=261260259321=2929290  p3=(2613) q3 (1q)n3=2929290 0.0493 (10.049)26130.0008 C4(261)=(2614)=261!4!(2614)!=2612602592584321=188939205  p4=(2614) q4 (1q)n4=188939205 0.0494 (10.049)26140.0027 C5(261)=(2615)=261!5!(2615)!=26126025925825754321=9711475137  p5=(2615) q5 (1q)n5=9711475137 0.0495 (10.049)26150.0071 C6(261)=(2616)=261!6!(2616)!=261260259258257256654321=414356272512  p6=(2616) q6 (1q)n6=414356272512 0.0496 (10.049)26160.0157 C7(261)=(2617)=261!7!(2617)!=2612602592582572562557654321=15094407070080  p7=(2617) q7 (1q)n7=15094407070080 0.0497 (10.049)26170.0294 C8(261)=(2618)=261!8!(2618)!=26126025925825725625525487654321=479247424475040  p8=(2618) q8 (1q)n8=479247424475040 0.0498 (10.049)26180.0481 C9(261)=(2619)=261!9!(2619)!=261260259258257256255254253987654321=13472177599131680  p9=(2619) q9 (1q)n9=13472177599131680 0.0499 (10.049)26190.0696 C10(261)=(26110)=261!10!(26110)!=339498875498118336  p10=(26110) q10 (1q)n10=339498875498118336 0.04910 (10.049)261100.0904 C11(261)=(26111)=261!11!(26111)!=7746747068184336576  p11=(26111) q11 (1q)n11=7746747068184336576 0.04911 (10.049)261110.1063 C12(261)=(26112)=261!12!(26112)!1.613×1020=161390563920507012000  p12=(26112) q12 (1q)n12=161390563920507012000 0.04912 (10.049)261120.1141 C13(261)=(26113)=261!13!(26113)!3.091×1021=3091250032015865076000  p13=(26113) q13 (1q)n13=3091250032015865076000 0.04913 (10.049)261130.1126 C14(261)=(26114)=261!14!(26114)!5.475×1022=54759286281423895632000  p14=(26114) q14 (1q)n14=54759286281423895632000 0.04914 (10.049)261140.1028 C15(261)=(26115)=261!15!(26115)!9.017×1023=901702914100780148073600  p15=(26115) q15 (1q)n15=901702914100780148073600 0.04915 (10.049)261150.0872 C16(261)=(26116)=261!16!(26116)!1.386×1025=13863682304299494776631600  p16=(26116) q16 (1q)n16=13863682304299494776631600 0.04916 (10.049)261160.0691 C17(261)=(26117)=261!17!(26117)!1.998×1026=199800127326669189427926000  p17=(26117) q17 (1q)n17=199800127326669189427926000 0.04917 (10.049)261170.0513  s=p0+p1+p2+p3+p4+p5+p6+p7+p8+p9+p10+p11+p12+p13+p14+p15+p16+p17=2.0189106+2.715105+0.0002+0.0008+0.0027+0.0071+0.0157+0.0294+0.0481+0.0696+0.0904+0.1063+0.1141+0.1126+0.1028+0.0872+0.0691+0.05130.9071 p=1s=10.9071=0.0929

We will be pleased if You send us any improvements to this math problem. Thank you!


Tips to related online calculators
Looking for a statistical calculator?
Our percentage calculator will help you quickly calculate various typical tasks with percentages.
Would you like to compute count of combinations?

Related math problems and questions:

  • Simple interest 4
    coins-uk_2 Find the simple interest if 5243 USD at 4.3% for 261 days. Assume a 361-day year.
  • Records
    binomial_1 Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors?
  • Family
    family_32 94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
  • Component fail
    matica There is a 90 percent chance that a particular type of component will perform adequately under high temperature conditions. If the device involved has four such components, determine the probability that the device is inoperable because exactly one of the
  • All use computer
    workers It is reported that 72% of working women use computers at work. Choose 3 women at random, find the probability that all 3 women use a computer in their jobs.
  • Automaker
    car_manufactury The automaker now produces daily 4 new cars more than last year so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles needed last year?
  • Wimbledon finals
    tenis_1 Serena Williams made a successful first serve 67% 0f the time in a Wimbledon finals match against her sister Venus. If she continues to serve at the same rate the next time they play and serves 6 times in the first game, determine the probability that: 1.
  • Probability of failures
    binomial In certain productions, the probability of failures is 0.01. Calculate the probability that there will be more than one failure among the 100 selected products if we return the selected products to the file after the check.
  • Sales
    tesco From statistics of sales goods, item A buy 51% of people and item B buys 59% of people. What is the probability that from 10 people buy 2 item A and 8 item B?
  • Doctors
    doktori The drug successfully treats 90% of cases. Calculate the probability that he will cure at least 18 patients out of 20?
  • Bernoulli distribution
    binomial_2 The production of solar cells produces 2% of defective cells. Assume the cells are independent and that a lot contains 800 cells. Approximate the probability that less than 20 cells are defective. (Answer to the nearest 3 decimals).
  • Playing cards
    binomial_1 From 32 playing cards containing 8 red cards, we choose 4 cards. What is the probability that just 2 will be red?
  • Double probability
    dices2 The probability of success of the planned action is 60%. What is the probability that we will achieve success at least once if this action is repeated twice?
  • The university
    family_1 At a certain university, 25% of students are in the business faculty. Of the students in the business faculty, 66% are males. However, only 52% of all students at the university are male. a. What is the probability that a student selected at random in the
  • Left handed
    pens_1 It is known that 25% of the population is left-handed. What is the probability that there is a maximum of three left-handers at a seminar where there are 30 participants?
  • Birthday paradox
    holland How large must the group of people be so that the probability that two people have a birthday on the same day of the year is greater than 90%?
  • Boys and girls
    dices2_10 There are 11 boys and 18 girls in the classroom. Three pupils will answer. What is the probability that two boys will be among them?