22% of college students say they use credit cards because of the rewards program

Question

22% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is
22% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is
22% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is
22% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is

Explanation / Answer

Ans:

Use binomial distribution:

n=10,p=0.22

P(x=k)=10Ck*0.22k*(1-0.22)10-k

a)P(exactly 2)=P(x=2)=10C2*0.222*0.788=0.2984

b)P(more than 2)=P(x>2)=1-P(x<=2)

=1-P(x=0)-P(x=1)-P(x=2)

=1-0.7810-10C1*0.22*0.789-0.2984

=1- 0.0834-0.2351-0.2984

=1-0.6169=0.3831

c)As, 2 and 5 are inclusive,so

P(x<=2<=5)=P(x=2)+P(x=3)+P(x=4)+P(x=5)

=0.2984+0.2244+0.1108+0.0375=0.6711

(refer table given below for above calculations)

x p(x) 0 0.0834 1 0.2351 2 0.2984 3 0.2244 4 0.1108 5 0.0375 6 0.0088 7 0.0014 8 0.0002 9 0.0000 10 0.0000

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.