Seeds

From a box of spruce seeds with the germination of 80%, we randomly select 10 seeds and plant them. Find the median of the random variable: the number of germinating seeds.

Correct answer:

m =  8

Step-by-step explanation:

q=80%=80100=0.8 r=1q=10.8=15=0.2 n=10  n1=(n1)q1(1q)n1=(101)0.81(10.8)1014.096106 n2=(n2)q2(1q)n2=(102)0.82(10.8)1020.0001 n3=(n3)q3(1q)n3=(103)0.83(10.8)1030.0008 n4=(n4)q4(1q)n4=(104)0.84(10.8)1040.0055 n5=(n5)q5(1q)n5=(105)0.85(10.8)1050.0264 n6=(n6)q6(1q)n6=(106)0.86(10.8)1060.0881 n7=(n7)q7(1q)n7=(107)0.87(10.8)1070.2013 n8=(n8)q8(1q)n8=(108)0.88(10.8)1080.302 n9=(n9)q9(1q)n9=(109)0.89(10.8)1090.2684 n10=(n10)q10(1q)n10=(1010)0.810(10.8)10100.1074  n8>ni  m=8=8



Did you find an error or inaccuracy? Feel free to write us. Thank you!



avatar







Tips to related online calculators
Looking for help with calculating arithmetic mean?
Looking for a statistical calculator?
Would you like to compute count of combinations?

You need to know the following knowledge to solve this word math problem:


 
We encourage you to watch this tutorial video on this math problem: video1

Related math problems and questions:

  • Seeds
    mrkva2 The germination of seeds of a certain species of carrot is 96%. What is the probability that at least 25 seeds out of 30 will germinate?
  • Population variance
    binomial1 In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. If 8 students are randomly selected, find the population variance σ2 of
  • 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?
  • Family
    stork_bocian What is the probability that a family with 7 childrens have: exactly 6 dívek? 2 dívky and 5 boys? Consider the birth probability of a girl is 48.87% and boy 51.13%.
  • Records
    binomial Records indicate 90% error-free. If 8 records are randomly selected, what is the probability that at least 2 records have no errors?
  • Statistics quiz
    normal_d Fill in the missing word 1. in a data set, the mean, median and mode are measured of ________________ 2. "The manipulation of variables under controlled conditions"is the data collection method known as______________ 3. in a normal distribution, the area
  • Covid-19
    flu Data showed that 22% of people in a small town was infected with the COVID-19 virus. A random sample of six residents from this town was selected. Find the probability that exactly two of these residents was infected.
  • 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.
  • Class - boys and girls
    kresba In the class are 60% boys and 40% girls. Long hair has 10% boys and 80% girls. a) What is the probability that a randomly chosen person has long hair? b) The selected person has long hair. What is the probability that it is a girl?
  • Seed germination
    klicenie Seed germination is 80%. 8% of the germinated plants subsequently die. How many seeds does a gardener have to sow in order to grow 2,000 plants?
  • Family
    family 94 boys are born per 100 girls. Determine the probability that there are two boys in a randomly selected family with three children.
  • Internet anywhere
    normal_d In school, 60% of pupils have access to the internet at home. A group of 8 students is chosen at random. Find the probability that a) exactly 5 have access to the internet. b) At least 6 students have access to the internet
  • Sample Proportion
    binomial1 In a California community college, 60% of students will transfer to a college in the CSU system. The number of students in a sample who will transfer follows a binomial distribution. 400 students are randomly selected from the college and 224 of them will
  • Alopecia
    alopecia Medical literature indicates that 45% of men suffer from alopecia. For random sample of 8 men, calculate the probability that: (a) exactly four men suffer from alopecia. (b) at most two men suffer from alopecia.
  • Doctors
    doktori The drug successfully treats 90% of cases. Calculate the probability that he will cure at least 18 patients out of 20?
  • Dice
    dices2 We throw 10 times a playing dice. What is the probability that the six will fall exactly 4 times?
  • Dice
    dices2 We throw five times the dice. What is the probability that six fits exactly twice?