Answer:
The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.
Step-by-step explanation:
The proportion of pink bulbs is p=0.4.
If X is the amount of pink bulbs in a group of 4 bulbs, we can model this as a binomial distribution problem.
The probability that at least one of the bulbs is pink is P(X≥1)
[tex]P(X\geq 1)=1-P(X=0)=1-(\binom{4}{0}p^0(1-p)^4)\\\\P(X\geq 1)=(1-p)^4=0.6^4=0.1296[/tex]
The probabilty of having at least one pink bulb if 4 bulbs are purchased is 13%.
